Info
- Utilizzare la checkbox di selezione a fianco di ciascun documento per attivare le funzionalità di stampa, invio email, download nei formati disponibili del (i) record.
Continuous tensor products and Arveson's spectral C-algebras / / Joachim Zacharias
| Continuous tensor products and Arveson's spectral C-algebras / / Joachim Zacharias |
| Autore | Zacharias Joachim <1966-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2000] |
| Descrizione fisica | 1 online resource (118 p.) |
| Disciplina |
510 s
512/.55 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
C*-algebras
Tensor products |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0271-8 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""1 Introduction""; ""2 Continuous Tensor Products""; ""2.1 Tensor Decompositions over Boolean Algebras""; ""2.1.1 Definition""; ""2.1.2 Continuous Tensor Decompositions""; ""2.1.3 Discrete Examples""; ""2.1.4 Continuous Examples""; ""2.2 The Generalized Araki-Woods Theorem""; ""2.2.1 An Araki-Woods Theorem for B[sub(0)](I)""; ""3 Algebras Associated to Continuous Tensor Products""; ""3.1 Definition of L[sup(1)](T) and A(T)""; ""3.1.1 L[sup(1)]-Sections as Involutive Banach Algebras""; ""3.2 The C*-Algebra A{T) for T of Type I""; ""3.2.1 Representations of A(T)""
""3.2.2 States""""3.2.3 Ideals and Exact Sequences""; ""3.3 Automorphisms and Endomorphisms""; ""3.3.1 Ideal Preserving Automorphisms""; ""3.3.2 General Diagonal Morphisms""; ""3.3.3 Generation by Cones""; ""3.3.4 Pedersen Ideal and Infiniteness""; ""3.3.5 The Canonical Automorphic and Endomorphic Actions on A[sub(n)]""; ""3.4 Homotopy Invariants""; ""3.4.1 K-Theory""; ""3.4.2 The Homotopy Type of the Automorphism Group""; ""4 Arveson's Spectral C*-Algebras""; ""4.1 Product Systems""; ""4.1.1 E[sub(0)]-Semigroups and Product Systems"" ""4.2 The Spectral C*�Algebra C*(E) of a Product System""""4.2.1 The Wiener Hopf C*-Algebra""; ""4.2.2 The Involutive Banach Algebra L[sup(1)] (K[sub(E)])""; ""4.2.3 C*(E) and its Universal Property""; ""4.2.4 The C*-Algebras W[sub(n)]""; ""4.3 C*(E[sub(n)]) as a Crossed Product""; ""4.3.1 The Banach Algebra Crossed Product L[sup(1)] (R, L[sup(1)](T[sub(n)]))""; ""4.3.2 Morita Equivalence between R [omitted] A[sub(n)] and C*(E[sub(n)])""; ""4.3.3 Simplicity""; ""4.3.4 Infiniteness""; ""Appendix""; ""A. Bochner Integrals""; ""B. Direct Integrals"" ""C. Conditionally Positive Definite Functions""""References"" |
| Record Nr. | UNINA-9910480991403321 |
Zacharias Joachim <1966->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2000] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Continuous tensor products and Arveson's spectral C-algebras / / Joachim Zacharias
| Continuous tensor products and Arveson's spectral C-algebras / / Joachim Zacharias |
| Autore | Zacharias Joachim <1966-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2000] |
| Descrizione fisica | 1 online resource (118 p.) |
| Disciplina |
510 s
512/.55 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
C*-algebras
Tensor products |
| ISBN | 1-4704-0271-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""1 Introduction""; ""2 Continuous Tensor Products""; ""2.1 Tensor Decompositions over Boolean Algebras""; ""2.1.1 Definition""; ""2.1.2 Continuous Tensor Decompositions""; ""2.1.3 Discrete Examples""; ""2.1.4 Continuous Examples""; ""2.2 The Generalized Araki-Woods Theorem""; ""2.2.1 An Araki-Woods Theorem for B[sub(0)](I)""; ""3 Algebras Associated to Continuous Tensor Products""; ""3.1 Definition of L[sup(1)](T) and A(T)""; ""3.1.1 L[sup(1)]-Sections as Involutive Banach Algebras""; ""3.2 The C*-Algebra A{T) for T of Type I""; ""3.2.1 Representations of A(T)""
""3.2.2 States""""3.2.3 Ideals and Exact Sequences""; ""3.3 Automorphisms and Endomorphisms""; ""3.3.1 Ideal Preserving Automorphisms""; ""3.3.2 General Diagonal Morphisms""; ""3.3.3 Generation by Cones""; ""3.3.4 Pedersen Ideal and Infiniteness""; ""3.3.5 The Canonical Automorphic and Endomorphic Actions on A[sub(n)]""; ""3.4 Homotopy Invariants""; ""3.4.1 K-Theory""; ""3.4.2 The Homotopy Type of the Automorphism Group""; ""4 Arveson's Spectral C*-Algebras""; ""4.1 Product Systems""; ""4.1.1 E[sub(0)]-Semigroups and Product Systems"" ""4.2 The Spectral C*�Algebra C*(E) of a Product System""""4.2.1 The Wiener Hopf C*-Algebra""; ""4.2.2 The Involutive Banach Algebra L[sup(1)] (K[sub(E)])""; ""4.2.3 C*(E) and its Universal Property""; ""4.2.4 The C*-Algebras W[sub(n)]""; ""4.3 C*(E[sub(n)]) as a Crossed Product""; ""4.3.1 The Banach Algebra Crossed Product L[sup(1)] (R, L[sup(1)](T[sub(n)]))""; ""4.3.2 Morita Equivalence between R [omitted] A[sub(n)] and C*(E[sub(n)])""; ""4.3.3 Simplicity""; ""4.3.4 Infiniteness""; ""Appendix""; ""A. Bochner Integrals""; ""B. Direct Integrals"" ""C. Conditionally Positive Definite Functions""""References"" |
| Record Nr. | UNINA-9910788739703321 |
|
Zacharias Joachim <1966->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2000] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Continuous tensor products and Arveson's spectral C-algebras / / Joachim Zacharias
| Continuous tensor products and Arveson's spectral C-algebras / / Joachim Zacharias |
| Autore | Zacharias Joachim <1966-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2000] |
| Descrizione fisica | 1 online resource (118 p.) |
| Disciplina |
510 s
512/.55 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
C*-algebras
Tensor products |
| ISBN | 1-4704-0271-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""1 Introduction""; ""2 Continuous Tensor Products""; ""2.1 Tensor Decompositions over Boolean Algebras""; ""2.1.1 Definition""; ""2.1.2 Continuous Tensor Decompositions""; ""2.1.3 Discrete Examples""; ""2.1.4 Continuous Examples""; ""2.2 The Generalized Araki-Woods Theorem""; ""2.2.1 An Araki-Woods Theorem for B[sub(0)](I)""; ""3 Algebras Associated to Continuous Tensor Products""; ""3.1 Definition of L[sup(1)](T) and A(T)""; ""3.1.1 L[sup(1)]-Sections as Involutive Banach Algebras""; ""3.2 The C*-Algebra A{T) for T of Type I""; ""3.2.1 Representations of A(T)""
""3.2.2 States""""3.2.3 Ideals and Exact Sequences""; ""3.3 Automorphisms and Endomorphisms""; ""3.3.1 Ideal Preserving Automorphisms""; ""3.3.2 General Diagonal Morphisms""; ""3.3.3 Generation by Cones""; ""3.3.4 Pedersen Ideal and Infiniteness""; ""3.3.5 The Canonical Automorphic and Endomorphic Actions on A[sub(n)]""; ""3.4 Homotopy Invariants""; ""3.4.1 K-Theory""; ""3.4.2 The Homotopy Type of the Automorphism Group""; ""4 Arveson's Spectral C*-Algebras""; ""4.1 Product Systems""; ""4.1.1 E[sub(0)]-Semigroups and Product Systems"" ""4.2 The Spectral C*�Algebra C*(E) of a Product System""""4.2.1 The Wiener Hopf C*-Algebra""; ""4.2.2 The Involutive Banach Algebra L[sup(1)] (K[sub(E)])""; ""4.2.3 C*(E) and its Universal Property""; ""4.2.4 The C*-Algebras W[sub(n)]""; ""4.3 C*(E[sub(n)]) as a Crossed Product""; ""4.3.1 The Banach Algebra Crossed Product L[sup(1)] (R, L[sup(1)](T[sub(n)]))""; ""4.3.2 Morita Equivalence between R [omitted] A[sub(n)] and C*(E[sub(n)])""; ""4.3.3 Simplicity""; ""4.3.4 Infiniteness""; ""Appendix""; ""A. Bochner Integrals""; ""B. Direct Integrals"" ""C. Conditionally Positive Definite Functions""""References"" |
| Record Nr. | UNINA-9910818129903321 |
|
Zacharias Joachim <1966->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2000] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||