Amenable Invariant Random Subgroups
Résumé
We show that an amenable Invariant Random Subgroup of a locally compact second countable group lives in the amenable radical. This answers a question raised in the introduction of the paper "Kesten's Theorem for Invariant Random Subgroup" by Abert, Glasner and Virag We also consider, in the opposite direction, property (T), and prove a similar statement for this property.
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