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


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.


Arthur Bartels

Mathematisches Institut, Westfälische Wilhelms-Universität Münster, 48149 Münster, Germany

Wolfgang Lück

HIM (Hausdorff Research Institute for Mathematics), Poppelsdorfer Allee 45, 53115 Bonn, Germany and Rheinische Friedrich-Wilhelms-Universität Bonn, Mathematisches Institut, Endenicher Allee 60, 53115 Bonn, Germany