JournalsggdVol. 10, No. 4pp. 1121–1148

Day’s fixed point theorem, group cohomology and quasi-isometric rigidity

  • Tullia Dymarz

    University of Wisconsin, Madison, USA
  • Xiangdong Xie

    Bowling Green State University, USA
Day’s fixed point theorem, group cohomology and quasi-isometric rigidity cover
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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