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arXiv · 1804.10506

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

Motoko Kato
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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.

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Motoko Kato. 2018-04-27. On groups whose actions on finite-dimensional CAT(0) spaces have global fixed points. https://doi.org/10.1515/jgth-2018-0116

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