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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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Previews available in: English
Edition | Availability |
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1
Proper Group Actions and the Baum-Connes Conjecture
2012, Birkhauser Verlag
in English
3034880898 9783034880893
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2
Proper Group Actions and the Baum-Connes Conjecture
2003, Island Press
in English
3034880901 9783034880909
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3
Proper Group Actions and the Baum-Connes Conjecture (Advanced Courses in Mathematics - CRM Barcelona)
September 17, 2003, Birkhäuser Basel
Paperback
in English
- 1 edition
3764304081 9783764304089
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Book Details
First Sentence
"The Baum-Connes Conjecture predicts that the K-theory of the reduced C*-algebra C(G) of a group G can be computed as the KG-homology of the so-called universal space for proper G-actions, EG."
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September 22, 2024 | Edited by MARC Bot | import existing book |
February 12, 2019 | Created by MARC Bot | import existing book |