Invariant random subgroups of $C^*$-simple groups

Tattwamasi Amrutam; Mehrdad Kalantar

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arXiv · 2609.16974

Invariant random subgroups of $C^*$-simple groups

Tattwamasi Amrutam·Mehrdad Kalantar

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Abstract

Let $Γ$ be a countable discrete $C^*$-simple group. Let $μ$ be a $Γ$-invariant Borel probability measure on $\text{Sub}(Γ)$, i.e., an IRS. We show that $μ$-almost every subgroup $H$ is $C^*$-simple.

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BibTeX RIS

Tattwamasi Amrutam, Mehrdad Kalantar. 2026-09-15. Invariant random subgroups of $C^*$-simple groups. https://arxiv.org/abs/2609.16974

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