Proper Group Actions and the Baum-Connes Conjecture

Mislin Guido Valette Alain

ISBN 10: 3764304081 / ISBN 13: 9783764304089

Published by Springer, 2003

About this Item

Print on Demand pp. 144 67:B&W 6.69 x 9.61 in or 244 x 170 mm (Pinched Crown) Perfect Bound on White w/Gloss Lam.

Seller Inventory # 7502735

Bibliographic Details

• Title: Proper Group Actions and the Baum-Connes Conjecture
• Publisher: Springer
• Publication Date: 2003
• Language: English
• ISBN 10: 3764304081
• ISBN 13: 9783764304089
• Binding: Soft cover
• Condition: New

About this title

Synopsis

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 advanced graduate students and researchers in the area, leading to current research problems.