On groups whose actions on finite-dimensional CAT(0) spaces have global fixed points
Group Theory
2020-07-15 v1 Geometric Topology
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.
Cite
@article{arxiv.1804.10506,
title = {On groups whose actions on finite-dimensional CAT(0) spaces have global fixed points},
author = {Motoko Kato},
journal= {arXiv preprint arXiv:1804.10506},
year = {2020}
}
Comments
10 pages, 3 figures