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Equivariant K-Homology of the Classifying Space for Proper Actions

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Proper Group Actions and the Baum-Connes Conjecture

Part of the book series: Advanced Courses in Mathematics CRM Barcelona ((ACMBIRK))

Abstract

These notes are a compendium to a series of lectures concerning the topological aspects of the Baum-Connes Conjecture — the left hand side of the equation K G* (E G) ≅ K top* (C * r (G)) — the equivariant K-homology of E G. Besides of a presentation of the material needed to compute G* (E G,the reader will find an extensive discussion of many conjectures related to the Baum-Connes Conjecture.

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Mislin, G. (2003). Equivariant K-Homology of the Classifying Space for Proper Actions. In: Proper Group Actions and the Baum-Connes Conjecture. Advanced Courses in Mathematics CRM Barcelona. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8089-3_1

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