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

Pages 631-689 from Volume 175 (2012), Issue 2 by Arthur Bartels, Wolfgang Lück

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.

Keywords
, , , , ,
DOI
https://doi.org/10.4007/annals.2012.175.2.5
MR
2993750
zbMATH
06025000
Milestones
Received: 7 January 2009
Revised: 25 March 2010
Accepted: 28 June 2011
Published online: 1 March 2012

Authors

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