Fixed point properties in the space of marked groups
Group Theory
2010-01-29 v3
Abstract
We explain, following Gromov, how to produce uniform isometric actions of groups starting from isometric actions without fixed point, using common ultralimits techniques. This gives in particular a simple proof of a result by Shalom: Kazhdan's property (T) defines an open subset in the space of marked finitely generated groups.
Cite
@article{arxiv.0803.2592,
title = {Fixed point properties in the space of marked groups},
author = {Yves Stalder},
journal= {arXiv preprint arXiv:0803.2592},
year = {2010}
}
Comments
The only modification from previous version is section numbering, in order to agree with the published version