paper

On groups whose actions on finite-dimensional CAT(0) spaces have global fixed points

arXiv:1804.10506 · doi:10.1515/jgth-2018-0116

Abstract

We give a criterion for group elements to have fixed points with respect to a semi-simple action on a complete CAT(0) space of finite topological dimension. As an application, we show that Thompson's group T and various generalizations of Thompson's group V have global fixed points when they act semi-simply on finite-dimensional complete CAT(0) spaces.

10 pages, 3 figures

On groups whose actions on finite-dimensional CAT(0) spaces have global fixed points · wovepaper