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Record Nr. |
UNINA9910788739703321 |
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Autore |
Zacharias Joachim <1966-> |
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Titolo |
Continuous tensor products and Arveson's spectral C-algebras / / Joachim Zacharias |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , [2000] |
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©2000 |
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ISBN |
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Descrizione fisica |
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1 online resource (118 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 680 |
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Disciplina |
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Soggetti |
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C*-algebras |
Tensor products |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"January 2000, volume 143, number 680 (second of 4 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references (pages 115-118). |
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Nota di contenuto |
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""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 |
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