Stabilizer rigidity in irreducible group actions

Yair Hartman*, Omer Tamuz

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


We consider irreducible actions of locally compact product groups, and of higher rank semi-simple Lie groups. Using the intermediate factor theorems of Bader–Shalom and Nevo–Zimmer, we show that the action stabilizers, and all irreducible invariant random subgroups, are co-amenable in their normal closure. As a consequence, we derive rigidity results on irreducible actions that generalize and strengthen the results of Bader–Shalom and Stuck–Zimmer.

Original languageEnglish (US)
Pages (from-to)679-705
Number of pages27
JournalIsrael Journal of Mathematics
Issue number2
StatePublished - Oct 1 2016

ASJC Scopus subject areas

  • Mathematics(all)


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