Equivariant K-Homology of the Classifying Space for Proper Actions

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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