Proper Group Actions and the Baum-Connes Conjecture /
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...
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| Format: | eBook |
| Language: | English |
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Basel :
Birkhäuser Basel : Imprint : Birkhäuser,
2003.
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| Series: | Advanced Courses in Mathematics CRM Barcelona, Centre de Recerca Matemàtica.
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| Online Access: | Connect to the full text of this electronic book |
| Summary: | 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 advanced graduate students and researchers in the area, leading to current research problems. |
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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (131 pages) |
| ISBN: | 9783034880893 (electronic bk.) 3034880898 (electronic bk.) |