Day's fixed point theorem, Group cohomology and Quasi-isometric rigidity
arXiv:1502.00710
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.
20 pages