The Borel Conjecture for hyperbolic and CAT(0)-groups

Abstract

We prove the Borel Conjecture for a class of groups containing word-hyperbolic groups and groups acting properly, isometrically and cocompactly on a finite dimensional CAT(0)-space.

arXiv comment44 pages, in the revised version we have only made small changes in the exposition, e.g. added summaries to all sections