Invariant random subgroups of $C^{\ast }$-simple groups

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