Geodesic
Day’s fixed point theorem, group cohomology and quasi-isometric rigidity
Tullia Dymarz1 ; Xiangdong Xie2
1University of Wisconsin, Madison, USA
2Bowling Green State University, USA
Groups, geometry, and dynamics, Tome 10 (2016) no. 4, pp. 1121-1148

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DOI

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.
DOI : 10.4171/ggd/378
Classification : 20-XX, 30-XX
Mots-clés : Day’s fixed point theorem, Tukia theorem, quasiconformal group, uniform quasisimilarity group

Tullia Dymarz  1   ; Xiangdong Xie  2

1 University of Wisconsin, Madison, USA
2 Bowling Green State University, USA 
Tullia Dymarz; Xiangdong Xie. Day’s fixed point theorem, group cohomology and quasi-isometric rigidity. Groups, geometry, and dynamics, Tome 10 (2016) no. 4, pp. 1121-1148. doi: 10.4171/ggd/378
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