Geodesic flow for CAT(0)-groups

Arthur Bartels; Wolfgang Lueck

doi:10.2140/gt.2012.16.1345

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arXiv · 1003.4630

Geodesic flow for CAT(0)-groups

Arthur Bartels·Wolfgang Lueck

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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.

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BibTeX RIS

Arthur Bartels, Wolfgang Lueck. 2010-03-24. Geodesic flow for CAT(0)-groups. https://doi.org/10.2140/gt.2012.16.1345

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