On the baum-connes conjecture for d∞

Abstract

One of the most significant contributions to the proof of the Baum-Connes conjecture was made by Higson and Kasparov. Their proof of the conjecture for a-T-menable groups is a highly technical achievement. Some details of this result were later exposed in a survey by Guentner and Higson, where the conjecture for Z n is approached as an intermediate step to the general case. In this work we review the arguments given for Z n in the aforementioned survey and show that they apply to the case of the infinite dihedral group.