Continuous tensor products and Arveson's spectral C-algebras / / Joachim Zacharias

• Autore: Zacharias Joachim <1966->
• Pubblicazione: Providence, Rhode Island : , : American Mathematical Society, , [2000]; ©2000
• Descrizione fisica: 1 online resource (118 p.)
• Disciplina: 510 s; 512/.55
• Soggetto topico: C*-algebras; Tensor products
• Note generali: "January 2000, volume 143, number 680 (second of 4 numbers)."
• Nota di bibliografia: Includes bibliographical references (pages 115-118).
• 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*â€?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""
• Titolo autorizzato: -algebras
• ISBN: 1-4704-0271-8
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910788739703321
• Lo trovi qui: Univ. Federico II
• Serie: Memoirs of the American Mathematical Society ; ; no. 680.