A note on the Miščenko bundle

Seminar talk by Valerio Proietti.

Title: A note on the Miščenko bundle

Abstract: When $G$ is a discrete torsion-free group, one can express the Baum-Connes assembly map in two different ways. The equivalence of the two formulations is well-known and proved, for example, in a paper by Markus Land. Here, we give a proof which has the merit of being very short, relying on a tensor-product presentation of the module of sections associated to the Miščenko line bundle.