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Classification of Nuclear C*-Algebras. Entropy in Operator Algebras
Classification of Nuclear C*-Algebras. Entropy in Operator Algebras
Date: 12 November 2010, 04:03

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M. Rordam, E. Stormer, "Classification of Nuclear C*-Algebras. Entropy in Operator Algebras"
S--r | 2010 | ISBN: 364207605X | 198 pages | Djvu | 1,8 MB

This EMS volume consists of two parts, written by leading scientists in the field of operator algebras and non-commutative geometry. The first part, written by M.Rordam, is on Elliott's classification program for nuclear C*-algebras. The emphasis is on the work of Kirchberg and the spectacular results by Kirchberg and Phillips giving a nearly complete classification, in terms of K-theoretic invariants, in the purely infinite case. This part of the program is described with almost full proofs beginning with Kirchberg's tensor product theorems and Kirchberg's embedding theorem for exact C*-algebras. The classification of finite simple C*-algebras starting with AF-algebras, and continuing with AT- and AH-algebras is covered, but mostly without proofs. The second part, written by E.Stormer, is a survey of the theory of of noncommutative entropy of automorphisms of C*-algebras and von Neumann algebras from its initiation by Connes and Stormer in 1975 till 2001.
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Entropy   Operator   Algebras   Nuclear  

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