Stabilizer rigidity in irreducible group actions

Yair Hartman, Omer Tamuz

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

ASJC Scopus subject areas

  • Mathematics (all)


Dive into the research topics of 'Stabilizer rigidity in irreducible group actions'. Together they form a unique fingerprint.

Cite this