Day's fixed point theorem, Group cohomology and Quasi-isometric rigidity
Group Theory
2015-02-04 v1
Abstract
In this note we explain how Day's fixed point theorem can be used to conjugate certain groups of biLipschitz maps of a metric space into special subgroups like similarity groups. In particular, we use Day's theorem to establish Tukia-type theorems and to give new proofs of quasi-isometric rigidity results.
Keywords
Cite
@article{arxiv.1502.00710,
title = {Day's fixed point theorem, Group cohomology and Quasi-isometric rigidity},
author = {Tullia Dymarz and Xiangdong Xie},
journal= {arXiv preprint arXiv:1502.00710},
year = {2015}
}
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20 pages