Invariant random subgroups of the free group
Dynamical Systems
2014-04-16 v6 Group Theory
Abstract
Let be a locally compact group. A random closed subgroup with conjugation-invariant law is called an {\em invariant random subgroup} or IRS for short. We show that each nonabelian free group has a large "zoo" of IRS's. This contrasts with results of Stuck-Zimmer which show that there are no non-obvious IRS's of higher rank semisimple Lie groups with property (T).
Keywords
Cite
@article{arxiv.1204.5939,
title = {Invariant random subgroups of the free group},
author = {Lewis Bowen},
journal= {arXiv preprint arXiv:1204.5939},
year = {2014}
}
Comments
This is probably the final version. It fixes a few minor typos and provides a little more explanation than the previous version