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200 10$aContinuous tensor products and Arveson's spectral C*-algebras /$fJoachim Zacharias
210  1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[2000]
210  4$dİ2000
215   $a1 online resource (118 p.)
225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vnumber 680
300   $a"January 2000, volume 143, number 680 (second of 4 numbers)."
311   $a0-8218-1545-8 
320   $aIncludes bibliographical references (pages 115-118).
327   $a""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)""
327   $a""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""
327   $a""4.2 The Spectral C*a???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""
327   $a""C. Conditionally Positive Definite Functions""""References""
410  0$aMemoirs of the American Mathematical Society ;$vno. 680.
606   $aC*-algebras
606   $aTensor products
615  0$aC*-algebras.
615  0$aTensor products.
676   $a510 s
676   $a512/.55
700   $aZacharias$b Joachim$f1966-$01651118
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910818129903321
996   $a-algebras$94000888
997   $aUNINA