GdT Actions !

Yair Glasner: "Faithful invariant random subgroups in acylindrically hyperbolic groups"

Name: Yair Glasner: "Faithful invariant random subgroups in acylindrically hyperbolic groups"
Start: 2022-09-27T10:30:00+02:00
End: 2022-09-27T11:30:00+02:00
Location: No location set

mardi 27 sept. 2022, 10:30 → 11:30 Europe/Paris

Description

Abstract: I will show that every acylindrically hyperbolic group $\Gamma$ admits a weakly mixing probability measure preserving action $\Gamma \curvearrowright (X,\mathcal{B},\mu)$ which is faithful but not essentially free. In other words, $\Gamma$ admits a weakly mixing nontrivial faithful IRS. I will also show that every hyperbolic group admits a characteristic random subgroup with the same properties. Both results rely on works of Sun and Kechris-Quorning.

This is a joint work with Anton Hase.