Geodesic
Invariant random subgroups of the free group
Lewis Bowen1
1The University of Texas at Austin, USA
Groups, geometry, and dynamics, Tome 9 (2015) no. 3, pp. 891-916

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DOI

Let G be a locally compact group. A random closed subgroup with conjugation-invariant law is called an 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 and Zimmer which show that there are no non-obvious IRS’s of higher rank semisimple Lie groups with property (T).
DOI : 10.4171/ggd/331
Classification : 37-XX
Mots-clés : Invariant random subgroups, ergodic equivalence relations

Lewis Bowen  1

1 The University of Texas at Austin, USA 
Lewis Bowen. Invariant random subgroups of the free group. Groups, geometry, and dynamics, Tome 9 (2015) no. 3, pp. 891-916. doi: 10.4171/ggd/331
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