English

Geodesic flow for CAT(0)-groups

Geometric Topology 2014-11-11 v1

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

Cite

@article{arxiv.1003.4630,
  title  = {Geodesic flow for CAT(0)-groups},
  author = {Arthur Bartels and Wolfgang Lueck},
  journal= {arXiv preprint arXiv:1003.4630},
  year   = {2014}
}
R2 v1 2026-06-21T15:01:52.875Z