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On groups whose actions on finite-dimensional CAT(0) spaces have global fixed points (1804.10506v1)
Published 27 Apr 2018 in math.GR and math.GT
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.