A short proof of an index theorem, II

We introduce a slight modification of the usual equivariant KK-theory. We use this to give a KK-theoretical proof of an equivariant index theorem for Dirac-Schrodinger operators on a non -compact manifold of nowhere positive curvature. We incidentally show that the boundary of Dirac is Dirac; generalizing earlier work of Baum and coworkers, and a result of Higson and Roe.