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arXiv:1204.5939 [math.DS]AbstractReferencesReviewsResources

Invariant random subgroups of the free group

Lewis Bowen

Published 2012-04-26, updated 2014-04-15Version 6

Let $G$ 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).

Comments: This is probably the final version. It fixes a few minor typos and provides a little more explanation than the previous version
Categories: math.DS, math.GR
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