Invariant random subgroups of the free group

  • Lewis Bowen

    The University of Texas at Austin, USA


Let GG 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).

Cite this article

Lewis Bowen, Invariant random subgroups of the free group. Groups Geom. Dyn. 9 (2015), no. 3, pp. 891–916

DOI 10.4171/GGD/331