000			03491nam a22004573i 4500
001			EBC3114535
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005			20240729124611.0
006			m o d |
007			cr cnu||||||||
008			240724s1999 xx o ||||0 eng d
020			_a9781470402716 _q(electronic bk.)
020			_z9780821815458
035			_a(MiAaPQ)EBC3114535
035			_a(Au-PeEL)EBL3114535
035			_a(CaPaEBR)ebr11041313
035			_a(OCoLC)922964946
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQA326 -- .Z33 2000eb
082	0		_a510 s;512/.55
100	1		_aZacharias, Joachim.
245	1	0	_aContinuous Tensor Products and Arveson’s Spectral C^{*}-Algebras.
250			_a1st ed.
264		1	_aProvidence : _bAmerican Mathematical Society, _c1999.
264		4	_c©2000.
300			_a1 online resource (135 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aMemoirs of the American Mathematical Society ; _vv.143
505	0		_aIntro -- 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.
588			_aDescription based on publisher supplied metadata and other sources.
590			_aElectronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650		0	_aC*-algebras.
650		0	_aTensor products.
655		4	_aElectronic books.
776	0	8	_iPrint version: _aZacharias, Joachim _tContinuous Tensor Products and Arveson’s Spectral C^{*}-Algebras _dProvidence : American Mathematical Society,c1999 _z9780821815458
797	2		_aProQuest (Firm)
830		0	_aMemoirs of the American Mathematical Society
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114535 _zClick to View
999			_c70030 _d70030