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Proper Group Actions and the Baum-Connes Conjecture

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ISBN-10: 3764304081

ISBN-13: 9783764304089

Edition: 2003

Authors: Guido Mislin, Alain Valette

List price: $49.95
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Description:

This book contains a concise introduction to the techniques used to prove the Baum-Connes conjecture. The Baum-Connes conjecture predicts that the K-homology of the reduced C^*-algebra of a group can be computed as the equivariant K-homology of the classifying space for proper actions. The approach is expository, but it contains proofs of many basic results on topological K-homology and the K-theory of C^*-algebras. It features a detailed introduction to Bredon homology for infinite groups, with applications to K-homology. It also contains a detailed discussion of naturality questions concerning the assembly map, a topic not well documented in the literature. The book is aimed at…    
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Book details

List price: $49.95
Copyright year: 2003
Publisher: Birkh�user Boston
Publication date: 7/23/2003
Binding: Paperback
Pages: 131
Size: 6.50" wide x 9.25" long x 0.50" tall
Weight: 0.880

Alain Valette is Professor of Mathematics at the Universit� de Neuch�tel, Switzerland.

Foreword
Equivariant K-Homology of the Classifying Space for Proper Actions
Introduction and Acknowledgements
Odds and Ends on G-Spaces
Bredon Cohomology
Homology and Cohomology Theories
Spaces and Spectra over an Orbit Category
The Equivariant Chern Character
Appendix: Related Conjectures
On the Baum-Connes Assembly Map for Discrete Groups
Introduction
The Analytical Assembly Map
Naturality of the Assembly Map
Interlude: The Group of Integers
Lowest Dimensional Part of [mu][subscript 1][superscript 1]
App.: The Assembly Map in the Unbounded Picture
Index