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Aspects of operator algebras and applications : UIMP-RSME Luís A. Santaló Summer School, Universidad Internacional Menéndez Pelayo, Santander, Spain, July 21-25, 2008 / / Pere Ara, Fernando Lledó, Francesc Perera, editors
| Aspects of operator algebras and applications : UIMP-RSME Luís A. Santaló Summer School, Universidad Internacional Menéndez Pelayo, Santander, Spain, July 21-25, 2008 / / Pere Ara, Fernando Lledó, Francesc Perera, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society |
| Descrizione fisica | 1 online resource (178 p.) |
| Disciplina | 512.556 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Operator algebras
Operator theory |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-8218-8213-9 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""K-Theory For Operator Algebras. Classification Of C*-Algebras""; ""1. Introduction""; ""2. The Cuntz Semigroup: Definitions, Historical Origin And Technical Devices""; ""3. Hilbert C*-Modules. Kasparov'S Theorem""; ""4. The Category Cu""; ""5. Classification Of C*-Algebras""; ""References""; ""Modular Theory By Example""; ""1. Introduction""; ""2. Modular Theory: Definitions, Results And First Examples""; ""3. Modular Objects For A Crossed Product""; ""4. Modular Objects For The Car-Algebra""; ""5. Some Classical Applications Of Modular Theory""
""6. Appendix: Crossed Products And The Car-Algebra""""References""; ""Modular Theory For The Von Neumann Algebras Of Local Quantum Physics""; ""1. Introduction""; ""2. Free Quantum Fields And Local Quantum Theories""; ""3. Bisognano-Wichmann Relations.""; ""4. Modular Covariance And Modular Localization.""; ""References""; ""The Symbiosis Of C*- And W*-Algebras""; ""Appendix: Basic Definitions And Results For Operator Algebras""; ""1. Introduction""; ""2. C*-Algebras""; ""3. Von Neumann Algebras""; ""References"" |
| Record Nr. | UNINA-9910480024303321 |
| Providence, Rhode Island : , : American Mathematical Society | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Aspects of operator algebras and applications : UIMP-RSME Luís A. Santaló Summer School, Universidad Internacional Menéndez Pelayo, Santander, Spain, July 21-25, 2008 / / Pere Ara, Fernando Lledó, Francesc Perera, editors
| Aspects of operator algebras and applications : UIMP-RSME Luís A. Santaló Summer School, Universidad Internacional Menéndez Pelayo, Santander, Spain, July 21-25, 2008 / / Pere Ara, Fernando Lledó, Francesc Perera, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society |
| Descrizione fisica | 1 online resource (178 p.) |
| Disciplina | 512.556 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Operator algebras
Operator theory |
| ISBN | 0-8218-8213-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Contents -- Preface -- K-Theory For Operator Algebras. Classification Of C*-Algebras -- 1. Introduction -- 2. The Cuntz Semigroup: Definitions, Historical Origin And Technical Devices -- 3. Hilbert C*-Modules. Kasparov'S Theorem -- 4. The Category Cu -- 5. Classification Of C*-Algebras -- References -- Modular Theory By Example -- 1. Introduction -- 2. Modular Theory: Definitions, Results And First Examples -- 3. Modular Objects For A Crossed Product -- 4. Modular Objects For The Car-Algebra -- 5. Some Classical Applications Of Modular Theory -- 6. Appendix: Crossed Products And The Car-Algebra -- References -- Modular Theory For The Von Neumann Algebras Of Local Quantum Physics -- 1. Introduction -- 2. Free Quantum Fields And Local Quantum Theories -- 3. Bisognano-Wichmann Relations. -- 4. Modular Covariance And Modular Localization. -- References -- The Symbiosis Of C*- And W*-Algebras -- Appendix: Basic Definitions And Results For Operator Algebras -- 1. Introduction -- 2. C*-Algebras -- 3. Von Neumann Algebras -- References. |
| Record Nr. | UNINA-9910788633903321 |
| Providence, Rhode Island : , : American Mathematical Society | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Aspects of operator algebras and applications : UIMP-RSME Luís A. Santaló Summer School, Universidad Internacional Menéndez Pelayo, Santander, Spain, July 21-25, 2008 / / Pere Ara, Fernando Lledó, Francesc Perera, editors
| Aspects of operator algebras and applications : UIMP-RSME Luís A. Santaló Summer School, Universidad Internacional Menéndez Pelayo, Santander, Spain, July 21-25, 2008 / / Pere Ara, Fernando Lledó, Francesc Perera, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society |
| Descrizione fisica | 1 online resource (178 p.) |
| Disciplina | 512.556 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Operator algebras
Operator theory |
| ISBN | 0-8218-8213-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Contents -- Preface -- K-Theory For Operator Algebras. Classification Of C*-Algebras -- 1. Introduction -- 2. The Cuntz Semigroup: Definitions, Historical Origin And Technical Devices -- 3. Hilbert C*-Modules. Kasparov'S Theorem -- 4. The Category Cu -- 5. Classification Of C*-Algebras -- References -- Modular Theory By Example -- 1. Introduction -- 2. Modular Theory: Definitions, Results And First Examples -- 3. Modular Objects For A Crossed Product -- 4. Modular Objects For The Car-Algebra -- 5. Some Classical Applications Of Modular Theory -- 6. Appendix: Crossed Products And The Car-Algebra -- References -- Modular Theory For The Von Neumann Algebras Of Local Quantum Physics -- 1. Introduction -- 2. Free Quantum Fields And Local Quantum Theories -- 3. Bisognano-Wichmann Relations. -- 4. Modular Covariance And Modular Localization. -- References -- The Symbiosis Of C*- And W*-Algebras -- Appendix: Basic Definitions And Results For Operator Algebras -- 1. Introduction -- 2. C*-Algebras -- 3. Von Neumann Algebras -- References. |
| Record Nr. | UNINA-9910815371303321 |
| Providence, Rhode Island : , : American Mathematical Society | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
New trends in noncommutative algebra : conference in honor of Ken Goodearl's 65th birthday, August 9-14, 2010, University of Washington, Seattle, Washington / / P. Ara [and five others], editors
| New trends in noncommutative algebra : conference in honor of Ken Goodearl's 65th birthday, August 9-14, 2010, University of Washington, Seattle, Washington / / P. Ara [and five others], editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2012] |
| Descrizione fisica | 1 online resource (326 p.) |
| Disciplina | 512/.46 |
| Collana | Contemporary mathematics |
| Soggetto topico | Noncommutative algebras |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-8218-8497-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Preface""; ""Ken Goodearl�s contributions to ring theory""; ""1. C*-algebras and von Neumann regular rings""; ""2. Differential operator rings.""; ""3. Skew and -skew polynomial rings. Quantum coordinate rings.""; ""4. Stratification.""; ""5. H-prime ideals, totally nonnegative grassmanians, and symplectic leaves in matrix Poisson varieties.""; ""6. Homological aspects of quantum groups and noetherian Hopf algebras.""; ""7. Gems off the path.""; ""8. Expository works.""; ""Bibliography""; ""Row-finite equivalents exist only for row-countable graphs""; ""References""
""The controller subgroup of one-sided ideals in completed group rings""""1. Introduction""; ""2. The controller subgroup for profinite groups""; ""3. Compact -adic analytic groups""; ""References""; ""Enumeration of torus-invariant strata with respect to dimension in the big cell of the quantum minuscule Grassmannian of type _{ }""; ""1. Introduction""; ""2. Cauchon diagrams and Permutations in type _{ }""; ""3. Enumeration of â??-strata with respect to dimension""; ""4. The proportion of primitive â??-primes""; ""References"" ""Primitive algebraic algebras of polynomially bounded growth""""1. Introduction""; ""2. Gelfand-Kirillov dimension""; ""3. Affinization""; ""4. Algebraic algebras""; ""5. Affinization with two generators""; ""6. Questions""; ""Acknowledgments""; ""References""; ""Conic bundles and Clifford algebras""; ""1. Introduction""; ""2. Quadratic Forms over Schemes and Associated Conic Bundles""; ""3. Even Clifford Algebras""; ""4. Quaternion Algebras""; ""5. Brauer-Severi Varieties of Even Clifford Algebras""; ""6. Quaternion algebras of conic bundles""; ""7. Chern classes and - ³"" ""8. Del Pezzo Orders and Conic Bundles""""References""; ""Cell modules and canonical basic sets for Hecke algebras from Cherednik algebras""; ""1. Introduction""; ""2. Hecke and Cherednik algebras""; ""3. Category and basic sets""; ""4. Forms and Standard Modules""; ""5. Type (â??,1, )""; ""References""; ""On representations of Clifford algebras of Ternary cubic forms""; ""1. Introduction""; ""2. Generalities on Representations of Generalized Clifford Algebras and Ulrich Bundles""; ""3. The Case of Ternary Cubic Forms""; ""References""; ""Certain subgroups of Weyl groups are split"" ""1. Introduction""""2. Symmetric groups""; ""3. Direct products""; ""4. Wreath products""; ""5. Division algebras""; ""6. Schur indices""; ""7. Classical Weyl groups""; ""8. Exceptional Weyl groups""; ""9. Positive characteristic""; ""10. Real reflection groups""; ""11. Open questions""; ""References""; ""Primitive ideals in quantum â?? and â??""; ""0. Introduction""; ""1. Background and notation""; ""2. Torus-invariant prime ideals""; ""3. Localizations""; ""4. Centers of localizations""; ""5. Primitive ideals""; ""6. General consequences""; ""7. Appendix. Homological conditions"" ""References"" |
| Record Nr. | UNINA-9910480300803321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2012] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
New trends in noncommutative algebra : conference in honor of Ken Goodearl's 65th birthday, August 9-14, 2010, University of Washington, Seattle, Washington / / P. Ara [and five others], editors
| New trends in noncommutative algebra : conference in honor of Ken Goodearl's 65th birthday, August 9-14, 2010, University of Washington, Seattle, Washington / / P. Ara [and five others], editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2012] |
| Descrizione fisica | 1 online resource (326 p.) |
| Disciplina | 512/.46 |
| Collana | Contemporary mathematics |
| Soggetto topico | Noncommutative algebras |
| ISBN | 0-8218-8497-2 |
| Classificazione | 16-xx17B3718G4220C1520G42 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface -- Ken Goodearl's contributions to ring theory -- 1. C*-algebras and von Neumann regular rings -- 2. Differential operator rings. -- 3. Skew and -skew polynomial rings. Quantum coordinate rings. -- 4. Stratification. -- 5. H-prime ideals, totally nonnegative grassmanians, and symplectic leaves in matrix Poisson varieties. -- 6. Homological aspects of quantum groups and noetherian Hopf algebras. -- 7. Gems off the path. -- 8. Expository works. -- Bibliography -- Row-finite equivalents exist only for row-countable graphs -- References -- The controller subgroup of one-sided ideals in completed group rings -- 1. Introduction -- 2. The controller subgroup for profinite groups -- 3. Compact -adic analytic groups -- References -- Enumeration of torus-invariant strata with respect to dimension in the big cell of the quantum minuscule Grassmannian of type _{ } -- 1. Introduction -- 2. Cauchon diagrams and Permutations in type _{ } -- 3. Enumeration of a-strata with respect to dimension -- 4. The proportion of primitive a-primes -- References -- Primitive algebraic algebras of polynomially bounded growth -- 1. Introduction -- 2. Gelfand-Kirillov dimension -- 3. Affinization -- 4. Algebraic algebras -- 5. Affinization with two generators -- 6. Questions -- Acknowledgments -- References -- Conic bundles and Clifford algebras -- 1. Introduction -- 2. Quadratic Forms over Schemes and Associated Conic Bundles -- 3. Even Clifford Algebras -- 4. Quaternion Algebras -- 5. Brauer-Severi Varieties of Even Clifford Algebras -- 6. Quaternion algebras of conic bundles -- 7. Chern classes and - ³ -- 8. Del Pezzo Orders and Conic Bundles -- References -- Cell modules and canonical basic sets for Hecke algebras from Cherednik algebras -- 1. Introduction -- 2. Hecke and Cherednik algebras -- 3. Category and basic sets -- 4. Forms and Standard Modules -- 5. Type (ℓ,1, ) -- References -- On representations of Clifford algebras of Ternary cubic forms -- 1. Introduction -- 2. Generalities on Representations of Generalized Clifford Algebras and Ulrich Bundles -- 3. The Case of Ternary Cubic Forms -- References -- Certain subgroups of Weyl groups are split -- 1. Introduction -- 2. Symmetric groups -- 3. Direct products -- 4. Wreath products -- 5. Division algebras -- 6. Schur indices -- 7. Classical Weyl groups -- 8. Exceptional Weyl groups -- 9. Positive characteristic -- 10. Real reflection groups -- 11. Open questions -- References -- Primitive ideals in quantum a and a -- 0. Introduction -- 1. Background and notation -- 2. Torus-invariant prime ideals -- 3. Localizations -- 4. Centers of localizations -- 5. Primitive ideals -- 6. General consequences -- 7. A --endix. Homological conditions -- References -- Irreducible components of module varieties: projective equations and rationality -- Poisson brackets and Poisson spectra in polynomial algebras -- Hopf Action on Calabi-Yau algebras -- Finitely generated, non-artinian monolithic modules -- Regular algebras of dimension 4 with 3 generators -- Galois invariants of x-groups of Iwasawa algebras -- Strata of prime ideals of De Concini–Kac–Procesi algebras and Poisson geometry --Twisted Deformation Quantization of Algebraic Varieties (Survey). |
| Record Nr. | UNINA-9910788635903321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2012] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
New trends in noncommutative algebra : conference in honor of Ken Goodearl's 65th birthday, August 9-14, 2010, University of Washington, Seattle, Washington / / P. Ara [and five others], editors
| New trends in noncommutative algebra : conference in honor of Ken Goodearl's 65th birthday, August 9-14, 2010, University of Washington, Seattle, Washington / / P. Ara [and five others], editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2012] |
| Descrizione fisica | 1 online resource (326 p.) |
| Disciplina | 512/.46 |
| Collana | Contemporary mathematics |
| Soggetto topico | Noncommutative algebras |
| ISBN | 0-8218-8497-2 |
| Classificazione | 16-xx17B3718G4220C1520G42 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface -- Ken Goodearl's contributions to ring theory -- 1. C*-algebras and von Neumann regular rings -- 2. Differential operator rings. -- 3. Skew and -skew polynomial rings. Quantum coordinate rings. -- 4. Stratification. -- 5. H-prime ideals, totally nonnegative grassmanians, and symplectic leaves in matrix Poisson varieties. -- 6. Homological aspects of quantum groups and noetherian Hopf algebras. -- 7. Gems off the path. -- 8. Expository works. -- Bibliography -- Row-finite equivalents exist only for row-countable graphs -- References -- The controller subgroup of one-sided ideals in completed group rings -- 1. Introduction -- 2. The controller subgroup for profinite groups -- 3. Compact -adic analytic groups -- References -- Enumeration of torus-invariant strata with respect to dimension in the big cell of the quantum minuscule Grassmannian of type _{ } -- 1. Introduction -- 2. Cauchon diagrams and Permutations in type _{ } -- 3. Enumeration of a-strata with respect to dimension -- 4. The proportion of primitive a-primes -- References -- Primitive algebraic algebras of polynomially bounded growth -- 1. Introduction -- 2. Gelfand-Kirillov dimension -- 3. Affinization -- 4. Algebraic algebras -- 5. Affinization with two generators -- 6. Questions -- Acknowledgments -- References -- Conic bundles and Clifford algebras -- 1. Introduction -- 2. Quadratic Forms over Schemes and Associated Conic Bundles -- 3. Even Clifford Algebras -- 4. Quaternion Algebras -- 5. Brauer-Severi Varieties of Even Clifford Algebras -- 6. Quaternion algebras of conic bundles -- 7. Chern classes and - ³ -- 8. Del Pezzo Orders and Conic Bundles -- References -- Cell modules and canonical basic sets for Hecke algebras from Cherednik algebras -- 1. Introduction -- 2. Hecke and Cherednik algebras -- 3. Category and basic sets -- 4. Forms and Standard Modules -- 5. Type (ℓ,1, ) -- References -- On representations of Clifford algebras of Ternary cubic forms -- 1. Introduction -- 2. Generalities on Representations of Generalized Clifford Algebras and Ulrich Bundles -- 3. The Case of Ternary Cubic Forms -- References -- Certain subgroups of Weyl groups are split -- 1. Introduction -- 2. Symmetric groups -- 3. Direct products -- 4. Wreath products -- 5. Division algebras -- 6. Schur indices -- 7. Classical Weyl groups -- 8. Exceptional Weyl groups -- 9. Positive characteristic -- 10. Real reflection groups -- 11. Open questions -- References -- Primitive ideals in quantum a and a -- 0. Introduction -- 1. Background and notation -- 2. Torus-invariant prime ideals -- 3. Localizations -- 4. Centers of localizations -- 5. Primitive ideals -- 6. General consequences -- 7. A --endix. Homological conditions -- References -- Irreducible components of module varieties: projective equations and rationality -- Poisson brackets and Poisson spectra in polynomial algebras -- Hopf Action on Calabi-Yau algebras -- Finitely generated, non-artinian monolithic modules -- Regular algebras of dimension 4 with 3 generators -- Galois invariants of x-groups of Iwasawa algebras -- Strata of prime ideals of De Concini–Kac–Procesi algebras and Poisson geometry --Twisted Deformation Quantization of Algebraic Varieties (Survey). |
| Record Nr. | UNINA-9910822706403321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2012] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||