A description of the assembly map for the Baum-Connes conjecture with   coefficients
  In this note we set a configuration space description of the equivariant connective K-homology groups with coefficients in a unital C*-algebra for proper actions. Over this model we define a connective assembly map and prove that in this setting is possible to recover the analytic assembly map. 
Mario Vel\'asquez
math.KT math.AT