C*-Algebras: Proceedings of the Sfb-Workshop on C*-Algebras, Münster, Germany, March 8-12, 1999

ISBN-13: 9783540675624 / Angielski / Miękka / 2000 / 272 str.

J. Cuntz; Siegfried Echterhoff; Joachim Cuntz

Opis

This book contains a collection of articles provided by the participants of the SFB-workshop on C*-algebras, March 8 - March 12, 1999 which was held at the Sonderforschungsbereich "Geometrische Strukturen in der reinen Mathematik" of the University of Munster, Germany. The aim of the workshop was to bring together leading experts in the theory of C* -algebras with promising young researchers in the field, and to provide a stimulating atmosphere for discussions and interactions between the participants. There were 19 one-hour lectures on various topics like - classification of nuclear C* -algebras, - general K-theory for C* -algebras, - exact C* -algebras and exact groups, - C*-algebras associated to (infinite) matrices and C*-correspondences, - noncommutative prob ability theory, - deformation quantization, - group C* -algebras and the Baum-Connes conjecture, giving a broad overview of the latest developments in the field, and serving as a basis for discussions. We, the organizers of the workshop, were greatly pleased with the excellence of the lectures and so were led to the idea of publishing the proceedings of the conference. There are basically two kinds of contributions. On one side there are several articles giving surveys and overviews on new developments and im portant results of the theory, on the other side one finds original articles with interesting new results."

Spis treści

Some Properties of C*-Algebras Associated to Discrete Linear Groups.- Generalized Inductive Limits and Quasidiagonality.- Approximate Unitary Equivalence and the Topology of Ext(A, B).- Free Products of Exact Groups.- Random Matrices and Non-Exact C*-Algebras.- Das nicht-kommutative Michael-Auswahlprinzip und die Klassifikation nicht-einfacher Algebren.- C*-Algebraic Deformation Quantization of Closed Riemann Surfaces.- Index of ?-Equivariant Toeplitz Operators.- Twisted Actions and Obstructions in Group Cohomology.- Boundary Actions for Affine Buildings and Higher Rank Cuntz-Krieger Algebras.- Crossed Products by C*-Correspondences and Cuntz-Pimsner Algebras.- The Baum-Connes Conjecture for Groupoids.- C*-Exact Groups.- Some Free Ordered C*-Modules.- Quasi-free Automorphisms of Cuntz-Krieger-Pimsner Algebras.