| Authors: | Paul Baum, Nigel Higson and Thomas Schick |
| Title: | A geometric description of equivariant K-homology for proper actions |
| Publication Information: | Preprint |
| Abstract: | Let G be a discrete group and let X be a G-finite, proper G-CW-complex. We prove that Kasparov's equivariant K-homology groups for X are isomorphic to the geometric equivariant K-homology groups that are obtained by making the geometric K-homology theory of Baum and Douglas equivariant in the natural way. This reconciles the original and current formulations of the Baum-Connes conjecture for discrete groups. |