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Classification of Nuclear C*-Algebras. Entropy in Operator Algebras

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 entitled "Classification of Nuclear, Simple C*-Algebras" is on Elliotts classification program. The emphasis is on the cl...

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Bibliographic Details
Main Authors: Rordam, M., Stormer, E. (Author)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2002, 2002
Edition:1st ed. 2002
Series:Encyclopaedia of Mathematical Sciences
Subjects:
Functional Analysis
Computer Science
Mathematical Analysis
Analysis
Algebra
Geometry
Mathematical Physics
Theory Of Computation
Theoretical, Mathematical And Computational Physics
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • Part I. Classification of Nuclear, Simple C*-Algebras, M.Rordam: 1. AF-algebras and their Classification
  • 2. Preliminaries
  • 3. Classification results for finite C*-algebras
  • 4. Purely infinite simple C*-algebras
  • 5. On O 2
  • 6. Nuclear and exact C*-algebras and exact C*-algebras
  • 7. Tensor products by O 2 and O Öinfty
  • 8. Classification of Kirchberg algebras
  • Part II. A Survey of Noncommutative Dynamical Entropy, E. Stormer: Introduction
  • 1. Entropy in finite von Neumann algebras
  • 2. Entropy in C*-algebras
  • 3. Bogoliubov automorphisms
  • 4. The entropy of Sauvageot and Thouvenot
  • 5. Voiculescu's approximation entropies
  • 6. Crossed products
  • 7. Free products
  • 8. Binary shifts
  • 9. Generators
  • 10. The variational principle

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