Geometry & Topology 16 (2012) 1345–1391

DOI: 10.2140/gt.2012.16.1345

Abstract

We associate to a CAT(0)–space a flow space that can be used as the replacement for the geodesic flow on the sphere tangent bundle of a Riemannian manifold. We use this flow space to prove that CAT(0)–group are transfer reducible over the family of virtually cyclic groups. This result is an important ingredient in our proof of the Farrell–Jones Conjecture for these groups.

Keywords

geodesic flow space, CAT(0)–groups, Farrell–Jones Conjecture

Mathematical Subject Classification

Primary: 20F67

References

Publication

Received: 16 September 2010
Revised: 12 March 2012
Accepted: 2 June 2012
Published: 20 July 2012
Proposed: Martin R Bridson
Seconded: Walter Neumann, Steve Ferry

Authors