An Introduction to the classification of Amenable C*-Algebras /

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Bibliographic Details
Author / Creator:LIN, HUAXIN.
Imprint:Singapore ; London ; New Jersey : World Scientific, c2001.
Description:xi, 320 p. ; 23 cm.
Language:English
Subject:
Format: Print Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/4662371
Hidden Bibliographic Details
Varying Form of Title:Amenable C*-Algebras
ISBN:9810246803
Notes:Includes bibliographical references (p. 307-316) and index.

MARC

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245 0 3 |a An Introduction to the classification of Amenable C*-Algebras /  |c Huaxin Lin. 
246 3 0 |a Amenable C*-Algebras 
260 |a Singapore ;  |a London ;  |a New Jersey :  |b World Scientific,  |c c2001. 
300 |a xi, 320 p. ;  |c 23 cm. 
336 |a text  |b txt  |2 rdacontent  |0 http://id.loc.gov/vocabulary/contentTypes/txt 
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338 |a volume  |b nc  |2 rdacarrier  |0 http://id.loc.gov/vocabulary/carriers/nc 
504 |a Includes bibliographical references (p. 307-316) and index. 
505 0 0 |g Ch. 1.  |t The Basics of C*-algebras --  |g 1.1.  |t Banach algebras --  |g 1.2.  |t C*-algebras --  |g 1.3.  |t Commutative C*-algebras --  |g 1.4.  |t Positive cones --  |g 1.5.  |t Approximate identities, hereditary C*-subalgebras and quotients --  |g 1.6.  |t Positive linear functionals and a Gelfand-Naimark theorem --  |g 1.7.  |t Von Neumann algebras --  |g 1.8.  |t Enveloping von Neumann algebras and the spectral theorem --  |g 1.9.  |t Examples of C*-algebras --  |g 1.10.  |t Inductive limits of C*-algebras --  |g Ch. 2.  |t Amenable C*-algebras and K-theory --  |g 2.1.  |t Completely positive linear maps and the Stinespring representation --  |g 2.2.  |t Examples of completely positive linear maps --  |g 2.3.  |t Amenable C*-algebras --  |g 2.4.  |t K-theory --  |g 2.5.  |t Perturbations --  |g 2.6.  |t Examples of K-groups --  |g 2.7.  |t K-theory of inductive limits of C*-algebras --  |g Ch. 3.  |t AF-algebras and Ranks of C*-algebras --  |g 3.1.  |t C*-algebras of stable rank one and their K-theory --  |g 3.2.  |t C*-algebras of lower rank --  |g 3.3.  |t Order structure of K-theory --  |g 3.4.  |t AF-algebras --  |g 3.5.  |t Simple C*-algebras --  |g 3.6.  |t Tracial topological rank --  |g 3.7.  |t Simple C*-algebras with TR(A) [less than or equal to] 1 --  |g Ch. 4.  |t Classification of Simple AT-algebras --  |g 4.1.  |t Some basics about AT-algebras --  |g 4.2.  |t Unitary groups of C*-algebras with real rank zero --  |g 4.3.  |t Simple AT-algebras with real rank zero --  |g 4.4.  |t Unitaries in simple C-algebra with RR(A) = 0 --  |g 4.5.  |t A uniqueness theorem --  |g 4.6.  |t Classification of simple AT-algebras --  |g 4.7.  |t Invariants of simple AT-algebras --  |g Ch. 5.  |t C*-algebra Extensions --  |g 5.1.  |t Multiplier algebras --  |g 5.2.  |t Extensions of C*-algebras --  |g 5.3.  |t Completely positive maps to M[subscript n](C) --  |g 5.4.  |t Amenable completely positive maps --  |g 5.5.  |t Absorbing extensions --  |g 5.6.  |t A stable uniqueness theorem --  |g 5.7.  |t K-theory and the universal coefficient theorem --  |g 5.8.  |t Characterization of KK-theory and a universal multi-coefficient theorem --  |g 5.9.  |t Approximately trivial extensions --  |g Ch. 6.  |t Classification of Simple Amenable C*-algebras --  |g 6.1.  |t An existence theorem --  |g 6.2.  |t Simple AH-algebras --  |g 6.3.  |t The classification theorems --  |g 6.4.  |t Invariants and some isomorphism theorems. 
650 0 |a C*-algebras.  |0 http://id.loc.gov/authorities/subjects/sh85018534 
650 7 |a C*-algebras.  |2 fast  |0 http://id.worldcat.org/fast/fst00843285 
650 7 |a K-theory.  |2 fast  |0 http://id.worldcat.org/fast/fst00985541 
901 |a ToCBNA 
903 |a HeVa 
929 |a cat 
999 f f |i 7b7afce6-dfa9-5f3f-a8e2-cf1638265756  |s 17225690-f05c-5672-9f5c-b6c33829a7af 
928 |t Library of Congress classification  |a QA326 .L56 2001  |l ASR  |c ASR-SciASR  |i 4315200 
927 |t Library of Congress classification  |a QA326 .L56 2001  |l ASR  |c ASR-SciASR  |e CL27  |e CRERAR  |b 60663414  |i 7267007