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Iterated function systems and permutation representations of the Cuntz algebra / / Ola Bratteli, Palle E.T. Jorgensen
| Iterated function systems and permutation representations of the Cuntz algebra / / Ola Bratteli, Palle E.T. Jorgensen |
| Autore | Bratteli Ola |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1999] |
| Descrizione fisica | 1 online resource (106 p.) |
| Disciplina |
510 s
512/.55 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
C*-algebras
Fourier analysis Representations of groups Hilbert space |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0252-1 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""List of Figures""; ""Chapter 1. Introduction""; ""Chapter 2. Permutative representations of O[sub(N)]""; ""Chapter 3. Monomial representations and integers modulo N""; ""Chapter 4. Cycles of irreducible O[sub(N)] representations and their atoms of UHF[sub(N)] representations""; ""Chapter 5. Relations of finite type and sub-Cuntz states""; ""Chapter 6. The shift representation""; ""Chapter 7. The universal permutative multiplicity-free representation""; ""Chapter 8. Some specific examples of the cycle and atom structure: The mod N case""; ""8.1. The case N = 2"" |
| Record Nr. | UNINA-9910480499603321 |
Bratteli Ola
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1999] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Iterated function systems and permutation representations of the Cuntz algebra / / Ola Bratteli, Palle E.T. Jorgensen
| Iterated function systems and permutation representations of the Cuntz algebra / / Ola Bratteli, Palle E.T. Jorgensen |
| Autore | Bratteli Ola |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1999] |
| Descrizione fisica | 1 online resource (106 p.) |
| Disciplina |
510 s
512/.55 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
C*-algebras
Fourier analysis Representations of groups Hilbert space |
| ISBN | 1-4704-0252-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""List of Figures""; ""Chapter 1. Introduction""; ""Chapter 2. Permutative representations of O[sub(N)]""; ""Chapter 3. Monomial representations and integers modulo N""; ""Chapter 4. Cycles of irreducible O[sub(N)] representations and their atoms of UHF[sub(N)] representations""; ""Chapter 5. Relations of finite type and sub-Cuntz states""; ""Chapter 6. The shift representation""; ""Chapter 7. The universal permutative multiplicity-free representation""; ""Chapter 8. Some specific examples of the cycle and atom structure: The mod N case""; ""8.1. The case N = 2"" |
| Record Nr. | UNINA-9910788737603321 |
|
Bratteli Ola
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1999] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Iterated function systems and permutation representations of the Cuntz algebra / / Ola Bratteli, Palle E.T. Jorgensen
| Iterated function systems and permutation representations of the Cuntz algebra / / Ola Bratteli, Palle E.T. Jorgensen |
| Autore | Bratteli Ola |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1999] |
| Descrizione fisica | 1 online resource (106 p.) |
| Disciplina |
510 s
512/.55 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
C*-algebras
Fourier analysis Representations of groups Hilbert space |
| ISBN | 1-4704-0252-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""List of Figures""; ""Chapter 1. Introduction""; ""Chapter 2. Permutative representations of O[sub(N)]""; ""Chapter 3. Monomial representations and integers modulo N""; ""Chapter 4. Cycles of irreducible O[sub(N)] representations and their atoms of UHF[sub(N)] representations""; ""Chapter 5. Relations of finite type and sub-Cuntz states""; ""Chapter 6. The shift representation""; ""Chapter 7. The universal permutative multiplicity-free representation""; ""Chapter 8. Some specific examples of the cycle and atom structure: The mod N case""; ""8.1. The case N = 2"" |
| Record Nr. | UNINA-9910808069303321 |
|
Bratteli Ola
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1999] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Operator algebras and mathematical physics : proceedings of a summer conference held June 17-21, 1985, with support from the National Science Foundation and the University of Iowa / / Palle E.T. Jorgensen and Paul S. Muhly, editors
| Operator algebras and mathematical physics : proceedings of a summer conference held June 17-21, 1985, with support from the National Science Foundation and the University of Iowa / / Palle E.T. Jorgensen and Paul S. Muhly, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1987] |
| Descrizione fisica | 1 online resource (559 p.) |
| Disciplina | 512/.55 |
| Collana | Contemporary mathematics |
| Soggetto topico |
C*-algebras
Von Neumann algebras Mathematical physics |
| Soggetto genere / forma | Electronic books. |
| ISBN |
0-8218-7652-X
0-8218-5066-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""How the C*-algebraic formulation of statistical mechanics helps understanding the approach to equilibrium""""KMS structures in geometric quantization""; ""Perturbations and KMS states in C*-dynamical systems (Generalization of the absence theorem of phase transition in continuous quantum systems)""; ""III. Methods from Differential Geometry and K-theory""; ""Z/2-graded cyclic cohomology within the differential envelope""; ""Yang-Mills for non-commutative two-tori""; ""Non-stable K-theory and non-commutative tori""; ""IV. Positivity in Operator Algebras""; ""Nonlinear states on C*-algebras""
""Cones of positive maps""""On the geometry of positive maps in matrix algebras""; ""V. Dynamical Systems and Derivations""; ""Differential operators on C*-algebras""; ""Derivations and free group actions""; ""Automatic continuity of derivations on eigenspaces""; ""Dynamics in continuous quantum systems""; ""VI. Operators in Hilbert Spaces: Some Algebraic Methods""; ""Kuiper's theorem for Hilbert modules""; ""Feynman's operational calculus, generalized Dyson series and the Feynman integral""; ""An index theory for continuous semigroups of *-endomorphisms of B(S)and II1 factors"" ""Multivariable Toeplitz operators, Jordan algebras and index theory""""VII. C*-Algebras: Some Recent Results""; ""On multilinear completely bounded module maps""; ""On the classification of noncommutative tori, III""; ""VIII. Von Neumann Algebras""; ""The joint modular structure of an inclusion of von Neumann algebras""; ""Central sequences in crossed products"" |
| Record Nr. | UNINA-9910480466703321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1987] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Operator algebras and mathematical physics : proceedings of a summer conference held June 17-21, 1985, with support from the National Science Foundation and the University of Iowa / / Palle E.T. Jorgensen and Paul S. Muhly, editors
| Operator algebras and mathematical physics : proceedings of a summer conference held June 17-21, 1985, with support from the National Science Foundation and the University of Iowa / / Palle E.T. Jorgensen and Paul S. Muhly, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1987] |
| Descrizione fisica | 1 online resource (559 p.) |
| Disciplina | 512/.55 |
| Collana | Contemporary mathematics |
| Soggetto topico |
C*-algebras
Von Neumann algebras Mathematical physics |
| ISBN |
0-8218-7652-X
0-8218-5066-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | How the C*-algebraic formulation of statistical mechanics helps understanding the approach to equilibrium -- KMS structures in geometric quantization -- Perturbations and KMS states in C*-dynamical systems (Generalization of the absence theorem of phase transition in continuous quantum systems) -- III. Methods from Differential Geometry and K-theory -- Z/2-graded cyclic cohomology within the differential envelope -- Yang-Mills for non-commutative two-tori -- Non-stable K-theory and non-commutative tori -- IV. Positivity in Operator Algebras -- Nonlinear states on C*-algebras -- Cones of positive maps -- On the geometry of positive maps in matrix algebras -- V. Dynamical Systems and Derivations -- Differential operators on C*-algebras -- Derivations and free group actions -- Automatic continuity of derivations on eigenspaces -- Dynamics in continuous quantum systems -- VI. Operators in Hilbert Spaces: Some Algebraic Methods -- Kuiper's theorem for Hilbert modules -- Feynman's operational calculus, generalized Dyson series and the Feynman integral -- An index theory for continuous semigroups of *-endomorphisms of B(S)and II1 factors -- Multivariable Toeplitz operators, Jordan algebras and index theory -- VII. C*-Algebras: Some Recent Results -- On multilinear completely bounded module maps -- On the classification of noncommutative tori, III -- VIII. Von Neumann Algebras -- The joint modular structure of an inclusion of von Neumann algebras -- Central sequences in crossed products. |
| Record Nr. | UNINA-9910788785003321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1987] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Operator algebras and mathematical physics : proceedings of a summer conference held June 17-21, 1985, with support from the National Science Foundation and the University of Iowa / / Palle E.T. Jorgensen and Paul S. Muhly, editors
| Operator algebras and mathematical physics : proceedings of a summer conference held June 17-21, 1985, with support from the National Science Foundation and the University of Iowa / / Palle E.T. Jorgensen and Paul S. Muhly, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1987] |
| Descrizione fisica | 1 online resource (559 p.) |
| Disciplina | 512/.55 |
| Collana | Contemporary mathematics |
| Soggetto topico |
C*-algebras
Von Neumann algebras Mathematical physics |
| ISBN |
0-8218-7652-X
0-8218-5066-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | How the C*-algebraic formulation of statistical mechanics helps understanding the approach to equilibrium -- KMS structures in geometric quantization -- Perturbations and KMS states in C*-dynamical systems (Generalization of the absence theorem of phase transition in continuous quantum systems) -- III. Methods from Differential Geometry and K-theory -- Z/2-graded cyclic cohomology within the differential envelope -- Yang-Mills for non-commutative two-tori -- Non-stable K-theory and non-commutative tori -- IV. Positivity in Operator Algebras -- Nonlinear states on C*-algebras -- Cones of positive maps -- On the geometry of positive maps in matrix algebras -- V. Dynamical Systems and Derivations -- Differential operators on C*-algebras -- Derivations and free group actions -- Automatic continuity of derivations on eigenspaces -- Dynamics in continuous quantum systems -- VI. Operators in Hilbert Spaces: Some Algebraic Methods -- Kuiper's theorem for Hilbert modules -- Feynman's operational calculus, generalized Dyson series and the Feynman integral -- An index theory for continuous semigroups of *-endomorphisms of B(S)and II1 factors -- Multivariable Toeplitz operators, Jordan algebras and index theory -- VII. C*-Algebras: Some Recent Results -- On multilinear completely bounded module maps -- On the classification of noncommutative tori, III -- VIII. Von Neumann Algebras -- The joint modular structure of an inclusion of von Neumann algebras -- Central sequences in crossed products. |
| Record Nr. | UNINA-9910812566503321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1987] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Operator theory, operator algebras, and applications : the 25th Great Plains Operator Theory Symposium, June 7-12, 2005, University of Central Florida, Florida / / Deguang Han, Palle E.T. Jorgenson, David Royal Larson, editors
| Operator theory, operator algebras, and applications : the 25th Great Plains Operator Theory Symposium, June 7-12, 2005, University of Central Florida, Florida / / Deguang Han, Palle E.T. Jorgenson, David Royal Larson, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2006] |
| Descrizione fisica | 1 online resource (440 p.) |
| Disciplina | 515/.724 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Operator algebras
Operator theory |
| Soggetto genere / forma | Electronic books. |
| ISBN |
0-8218-8093-4
0-8218-3923-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""History of the Great Plains Operator Theory Symposium""; ""Applications, wavelets, dynamics, and quantum theory""; ""Weyl-Heisenberg frame wavelets with basic supports""; ""Use of operator algebras in the analysis of measures from wavelets and iterated function systems""; ""A brief introduction to operator quantum error correction""; ""From filters to wavelets via direct limits""; ""Wavelet image compression""; ""Operator theory and harmonic analysis""; ""Wiener-Hopf plus Hankel operators on the real line with unitary and sectorial symbols""
""An explicit duality for finite groups""""The corona factorization property""; ""Factorization theory for Wiener-Hopf plus Hankel operators with almost periodic symbols""; ""Non-commutative geometry""; ""On spectral invariance of non-commutative tori""; ""Lipschitz extension constants equal projection constants""; ""C*-algebras""; ""Certain representations of the Cuntz relations, and a question on wavelets decompositions""; ""The Rokhlin property for automorphisms on simple C*-algebras""; ""Some recent topics on C*-algebras and related problems"" ""Strong shift equivalence in the C*-algebraic setting: Graphs and C*-correspondences""""Topological higher-rank graphs and the C*-algebras of topological 1-graphs""; ""Von Neumann algebras""; ""Diagonals of self-adjoint operators""; ""On the Laplacian subalgebra of certain tensors of group von Neumann algebras""; ""Frames in Hilbert space""; ""Structured Parseval frames in Hilbert C*-modules""; ""Robertson-type theorems for countable groups of unitary operators""; ""The Kadison-Singer conjecture""; ""The Kadison-Singer problem in mathematics and engineering: A detailed account"" ""Extensions and dilations""""The gauge group of an E0-semigroup""; ""Extensions and dilations for C*-dynamical systems""; ""On some E0-semigroups induced from CP-flows on B(h)""; ""Multivariable operator theory""; ""Trace-class perturbations and functional calculus""; ""Rank preserving maps on CSL algebras"" |
| Record Nr. | UNINA-9910480979303321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2006] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Operator theory, operator algebras, and applications : the 25th Great Plains Operator Theory Symposium, June 7-12, 2005, University of Central Florida, Florida / / Deguang Han, Palle E.T. Jorgenson, David Royal Larson, editors
| Operator theory, operator algebras, and applications : the 25th Great Plains Operator Theory Symposium, June 7-12, 2005, University of Central Florida, Florida / / Deguang Han, Palle E.T. Jorgenson, David Royal Larson, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2006] |
| Descrizione fisica | 1 online resource (440 p.) |
| Disciplina | 515/.724 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Operator algebras
Operator theory |
| ISBN |
0-8218-8093-4
0-8218-3923-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""History of the Great Plains Operator Theory Symposium""; ""Applications, wavelets, dynamics, and quantum theory""; ""Weyl-Heisenberg frame wavelets with basic supports""; ""Use of operator algebras in the analysis of measures from wavelets and iterated function systems""; ""A brief introduction to operator quantum error correction""; ""From filters to wavelets via direct limits""; ""Wavelet image compression""; ""Operator theory and harmonic analysis""; ""Wiener-Hopf plus Hankel operators on the real line with unitary and sectorial symbols""
""An explicit duality for finite groups""""The corona factorization property""; ""Factorization theory for Wiener-Hopf plus Hankel operators with almost periodic symbols""; ""Non-commutative geometry""; ""On spectral invariance of non-commutative tori""; ""Lipschitz extension constants equal projection constants""; ""C*-algebras""; ""Certain representations of the Cuntz relations, and a question on wavelets decompositions""; ""The Rokhlin property for automorphisms on simple C*-algebras""; ""Some recent topics on C*-algebras and related problems"" ""Strong shift equivalence in the C*-algebraic setting: Graphs and C*-correspondences""""Topological higher-rank graphs and the C*-algebras of topological 1-graphs""; ""Von Neumann algebras""; ""Diagonals of self-adjoint operators""; ""On the Laplacian subalgebra of certain tensors of group von Neumann algebras""; ""Frames in Hilbert space""; ""Structured Parseval frames in Hilbert C*-modules""; ""Robertson-type theorems for countable groups of unitary operators""; ""The Kadison-Singer conjecture""; ""The Kadison-Singer problem in mathematics and engineering: A detailed account"" ""Extensions and dilations""""The gauge group of an E0-semigroup""; ""Extensions and dilations for C*-dynamical systems""; ""On some E0-semigroups induced from CP-flows on B(h)""; ""Multivariable operator theory""; ""Trace-class perturbations and functional calculus""; ""Rank preserving maps on CSL algebras"" |
| Record Nr. | UNINA-9910788789603321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2006] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Operator theory, operator algebras, and applications : the 25th Great Plains Operator Theory Symposium, June 7-12, 2005, University of Central Florida, Florida / / Deguang Han, Palle E.T. Jorgenson, David Royal Larson, editors
| Operator theory, operator algebras, and applications : the 25th Great Plains Operator Theory Symposium, June 7-12, 2005, University of Central Florida, Florida / / Deguang Han, Palle E.T. Jorgenson, David Royal Larson, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2006] |
| Descrizione fisica | 1 online resource (440 p.) |
| Disciplina | 515/.724 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Operator algebras
Operator theory |
| ISBN |
0-8218-8093-4
0-8218-3923-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""History of the Great Plains Operator Theory Symposium""; ""Applications, wavelets, dynamics, and quantum theory""; ""Weyl-Heisenberg frame wavelets with basic supports""; ""Use of operator algebras in the analysis of measures from wavelets and iterated function systems""; ""A brief introduction to operator quantum error correction""; ""From filters to wavelets via direct limits""; ""Wavelet image compression""; ""Operator theory and harmonic analysis""; ""Wiener-Hopf plus Hankel operators on the real line with unitary and sectorial symbols""
""An explicit duality for finite groups""""The corona factorization property""; ""Factorization theory for Wiener-Hopf plus Hankel operators with almost periodic symbols""; ""Non-commutative geometry""; ""On spectral invariance of non-commutative tori""; ""Lipschitz extension constants equal projection constants""; ""C*-algebras""; ""Certain representations of the Cuntz relations, and a question on wavelets decompositions""; ""The Rokhlin property for automorphisms on simple C*-algebras""; ""Some recent topics on C*-algebras and related problems"" ""Strong shift equivalence in the C*-algebraic setting: Graphs and C*-correspondences""""Topological higher-rank graphs and the C*-algebras of topological 1-graphs""; ""Von Neumann algebras""; ""Diagonals of self-adjoint operators""; ""On the Laplacian subalgebra of certain tensors of group von Neumann algebras""; ""Frames in Hilbert space""; ""Structured Parseval frames in Hilbert C*-modules""; ""Robertson-type theorems for countable groups of unitary operators""; ""The Kadison-Singer conjecture""; ""The Kadison-Singer problem in mathematics and engineering: A detailed account"" ""Extensions and dilations""""The gauge group of an E0-semigroup""; ""Extensions and dilations for C*-dynamical systems""; ""On some E0-semigroups induced from CP-flows on B(h)""; ""Multivariable operator theory""; ""Trace-class perturbations and functional calculus""; ""Rank preserving maps on CSL algebras"" |
| Record Nr. | UNINA-9910814062003321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2006] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Representation theory and numerical AF-invariants : the representations and centralizers of certain states on Od / / Ola Bratteli, Palle E.T. Jorgensen, Vasyl' Ostrovs'kyĭ
| Representation theory and numerical AF-invariants : the representations and centralizers of certain states on Od / / Ola Bratteli, Palle E.T. Jorgensen, Vasyl' Ostrovs'kyĭ |
| Autore | Bratteli Ola |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2004 |
| Descrizione fisica | 1 online resource (202 p.) |
| Disciplina | 515.48 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Ergodic theory
Representations of groups Selfadjoint operators Linear operators |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0395-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Abstract""; ""Preface""; ""Introduction""; ""Part A. Representation Theory""; ""Chapter 1. General representations of O[sub(d)] on a separable Hilbert space""; ""Chapter 2. The free group on d generators""; ""Chapter 3. 946�KMS states for one�parameter subgroups of the action of T[sub(d)] on O[sub(d)]""; ""Chapter 4. Subalgebras of O[sub(d)]""; ""Part B. Numerical AF�Invariants""; ""Chapter 5. The dimension group of u[sub(L)]""; ""Chapter 6. Invariants related to the Perron�Frobenius eigenvalue""
""Chapter 14. Linear algebra of J""""Chapter 15. Lattice points""; ""Chapter 16. Complete classification in the cases λ= 2, N = 2, 3,4""; ""Chapter 17. Complete classification in the case λ = m[sub(N)]""; ""1. The case N = 1""; ""2. The case N = 2""; ""3. The case N = 3""; ""4. The case N â?? 4""; ""Chapter 18. Further comments on two examples from Chapter 16""; ""Bibliography""; ""List of Figures""; ""List of Tables""; ""List of Terms and Symbols"" |
| Record Nr. | UNINA-9910480593703321 |
|
Bratteli Ola
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
