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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.

  • ISBN13: 9783764304089
  • Publisher: Birkhauser Basel
  • Pubilcation Year: 2003
  • Format: Paperback
  • Pages: 00131
Specifications
FormatPaperback
SeriesAdvanced Courses in Mathematics: CRM Barcelona
Publication DateJuly 23, 2003
Pages131

Proper Group Actions and the Baum-Connes Conjecture

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