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

27 Apr 2018 Kato Motoko

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...

PDF Abstract
No code implementations yet. Submit your code now

Categories


  • GROUP THEORY
  • GEOMETRIC TOPOLOGY