Fachbereich Mathematik, Universität Münster, Einsteinstr. 62, 48149 Münster, Germany ; Fachbereich Mathematik, Universität Münster, Einsteinstr. 62, 48149 Münster, Germany
Abstract:
We prove the Farrell-Jones Conjecture for the algebraic -theory of a group ring in the case where the group is the fundamental group of a closed Riemannian manifold with strictly negative sectional curvature. The coefficient ring is an arbitrary associative ring with unit and the result applies to all dimensions.