Stabilizer Rigidity in Irreducible Group Actions
نویسنده
چکیده
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 NevoZimmer, we show that the action stabilizers, and all irreducible invariant random subgroups, are co-amenable in some normal subgroup. As a consequence, we derive rigidity results on irreducible actions that generalize and strengthen the results of Bader-Shalom and Stuck-Zimmer.
منابع مشابه
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