C*-categories, Groupoid Actions, Equivariant KK-theory, and the Baum-Connes Conjecture, by Paul D. Mitchener

In this article we give a characterisation of the Baum-Connes assembly map with coefficients. The technical tools needed are the K-theory of C*-categories, and a new version of equivariant KK-theory in the world of groupoids.

Paul D. Mitchener <mitch@uni-math.gwdg.de>