Invariant random subgroups of the free group

Details Invariant random subgroups of the free group Invariant random subgroups of the free group

2012-04-26

arxiv.org/abs/1204.5939v1

Mathematics

Dynamical Systems

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Scientific paper

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).

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