Geodesic flow for CAT(0)-groups

Details Geodesic flow for CAT(0)-groups Geodesic flow for CAT(0)-groups

2010-03-24

arxiv.org/abs/1003.4630v1

Mathematics

Geometric Topology

Scientific paper

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.

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