Simple groups without lattices
Group Theory
2013-03-28 v2
Abstract
We show that the group of almost automorphisms of a d-regular tree does not admit lattices. As far as we know this is the first such example among (compactly generated) simple locally compact groups.
Keywords
Cite
@article{arxiv.1008.2911,
title = {Simple groups without lattices},
author = {Uri Bader and Pierre-Emmanuel Caprace and Tsachik Gelander and Shahar Mozes},
journal= {arXiv preprint arXiv:1008.2911},
year = {2013}
}
Comments
17 pages. Revised according to referee's report