Continuous Tensor Products and Arveson’s Spectral C^{*}-Algebras. (Record no. 70030)
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fixed length control field | 03491nam a22004573i 4500 |
001 - CONTROL NUMBER | |
control field | EBC3114535 |
003 - CONTROL NUMBER IDENTIFIER | |
control field | MiAaPQ |
005 - DATE AND TIME OF LATEST TRANSACTION | |
control field | 20240729124611.0 |
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
fixed length control field | m o d | |
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
fixed length control field | cr cnu|||||||| |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
fixed length control field | 240724s1999 xx o ||||0 eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
International Standard Book Number | 9781470402716 |
Qualifying information | (electronic bk.) |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
Canceled/invalid ISBN | 9780821815458 |
035 ## - SYSTEM CONTROL NUMBER | |
System control number | (MiAaPQ)EBC3114535 |
035 ## - SYSTEM CONTROL NUMBER | |
System control number | (Au-PeEL)EBL3114535 |
035 ## - SYSTEM CONTROL NUMBER | |
System control number | (CaPaEBR)ebr11041313 |
035 ## - SYSTEM CONTROL NUMBER | |
System control number | (OCoLC)922964946 |
040 ## - CATALOGING SOURCE | |
Original cataloging agency | MiAaPQ |
Language of cataloging | eng |
Description conventions | rda |
-- | pn |
Transcribing agency | MiAaPQ |
Modifying agency | MiAaPQ |
050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
Classification number | QA326 -- .Z33 2000eb |
082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER | |
Classification number | 510 s;512/.55 |
100 1# - MAIN ENTRY--PERSONAL NAME | |
Personal name | Zacharias, Joachim. |
245 10 - TITLE STATEMENT | |
Title | Continuous Tensor Products and Arveson’s Spectral C^{*}-Algebras. |
250 ## - EDITION STATEMENT | |
Edition statement | 1st ed. |
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
Place of production, publication, distribution, manufacture | Providence : |
Name of producer, publisher, distributor, manufacturer | American Mathematical Society, |
Date of production, publication, distribution, manufacture, or copyright notice | 1999. |
264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
Date of production, publication, distribution, manufacture, or copyright notice | ©2000. |
300 ## - PHYSICAL DESCRIPTION | |
Extent | 1 online resource (135 pages) |
336 ## - CONTENT TYPE | |
Content type term | text |
Content type code | txt |
Source | rdacontent |
337 ## - MEDIA TYPE | |
Media type term | computer |
Media type code | c |
Source | rdamedia |
338 ## - CARRIER TYPE | |
Carrier type term | online resource |
Carrier type code | cr |
Source | rdacarrier |
490 1# - SERIES STATEMENT | |
Series statement | Memoirs of the American Mathematical Society ; |
Volume/sequential designation | v.143 |
505 0# - FORMATTED CONTENTS NOTE | |
Formatted contents note | Intro -- 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 ## - SOURCE OF DESCRIPTION NOTE | |
Source of description note | Description based on publisher supplied metadata and other sources. |
590 ## - LOCAL NOTE (RLIN) | |
Local note | Electronic 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 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name entry element | C*-algebras. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name entry element | Tensor products. |
655 #4 - INDEX TERM--GENRE/FORM | |
Genre/form data or focus term | Electronic books. |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
Relationship information | Print version: |
Main entry heading | Zacharias, Joachim |
Title | Continuous Tensor Products and Arveson’s Spectral C^{*}-Algebras |
Place, publisher, and date of publication | Providence : American Mathematical Society,c1999 |
International Standard Book Number | 9780821815458 |
797 2# - LOCAL ADDED ENTRY--CORPORATE NAME (RLIN) | |
Corporate name or jurisdiction name as entry element | ProQuest (Firm) |
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
Uniform title | Memoirs of the American Mathematical Society |
856 40 - ELECTRONIC LOCATION AND ACCESS | |
Uniform Resource Identifier | <a href="https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114535">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114535</a> |
Public note | Click to View |
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