Day’s fixed point theorem, group cohomology and quasi-isometric rigidity
Tullia Dymarz
University of Wisconsin, Madison, USAXiangdong Xie
Bowling Green State University, USA
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.
Cite this article
Tullia Dymarz, Xiangdong Xie, Day’s fixed point theorem, group cohomology and quasi-isometric rigidity. Groups Geom. Dyn. 10 (2016), no. 4, pp. 1121–1148
DOI 10.4171/GGD/378