Proper Group Actions and the Baum-Connes Conjecture / by Guido Mislin, Alain Valette.
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 Ĉ*-algebra of a group can be computed as the equivariant K-homology of the classifying space for proper actions. The approach i...
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Full Text (via Springer) |
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| Format: | eBook |
| Language: | English |
| Published: |
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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| Subjects: |
MARC
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| 100 | 1 | |a Mislin, Guido. | |
| 245 | 1 | 0 | |a Proper Group Actions and the Baum-Connes Conjecture / |c by Guido Mislin, Alain Valette. |
| 260 | |a Basel : |b Birkhäuser Basel : |b Imprint : |b Birkhäuser, |c 2003. | ||
| 300 | |a 1 online resource (131 pages) | ||
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| 490 | 1 | |a Advanced Courses in Mathematics CRM Barcelona, Centre de Recerca Matemàtica. | |
| 505 | 0 | |a Foreword -- Equivariant K-Homology of the Classifying Space for Proper Actions (Guido Mislin) -- On the Baum-Connes Map for Discrete Groups (Alain Valette) | |
| 504 | |a Includes bibliographical references and index. | ||
| 520 | |a 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 Ĉ*-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 Ĉ*-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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| 830 | 0 | |a Advanced Courses in Mathematics CRM Barcelona, Centre de Recerca Matemàtica. | |
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