2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/63899In 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 equivariant KK-theory in the world of groupoids.K-Theory and HomologyAlgebraic TopologyC*-categories, Groupoid Actions, Equivariant KK-theory, and the Baum-Connes Conjecturetext