Classification of nuclear C*-algebras / M. Rørdam. Entropy in operator algebras / E. Størmer.

Author/creator Rørdam, M., 1959-
Format Book
Publication InfoBerlin ; New York : Springer, ©2002.
Descriptionvii, 198 pages : illustrations ; 25 cm.
Supplemental ContentTable of contents
Supplemental ContentTable of contents
Subjects
C*-algebras.

SeriesEncyclopaedia of mathematical sciences ; v. 126. Operator algebras and non-commutative geometry, 0938-0396 ; 7
Encyclopaedia of mathematical sciences ; v. 126. ^A221220
Encyclopaedia of mathematical sciences. Operator algebras and non-commutative geometry ; v. 7. ^A513378
Contents I. Classification of nuclear, simple C*-algebras / Mikael Rørdam -- II. A survey of noncommutative dynamical entropy / Erling Størmer.
Review "This EMS volume consists of two parts, written by leading scientists in the field of operator algebras and non-commutative geometry. The first part 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 is a survey of the theory of noncommutative entropy of automorphisms of C*-algebras and von Neumann algebras from its initiation by Connes and Stormer in 1975 till 2001"--Jacket
Bibliography noteIncludes bibliographical references and index.
Other titleEntropy in operator algebras.
ISBN3540423052
ISBN9783540423058

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