
Proper Group Actions and the Baum-Connes Conjecture
Birkhäuser (Publisher)
1st Edition
Published on 23. July 2003
Book
Paperback/Softback
131 pages
978-3-7643-0408-9 (ISBN)
Description
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.
More details
Series
Language
English
Place of publication
Basel
Switzerland
Publishing group
Springer Basel
Target group
Professional and scholarly
Research
Illustrations
2 s/w Abbildungen
131 p. 2 illus.
Dimensions
Height: 244 mm
Width: 170 mm
Thickness: 9 mm
Weight
262 gr
ISBN-13
978-3-7643-0408-9 (9783764304089)
DOI
10.1007/978-3-0348-8089-3
Schweitzer Classification
Content
Equivariant K-Homology of the Classifying Space for Proper Actions.- On the Baum-Connes Assembly Map for Discrete Groups.