| Résume | The notion of invariant random subgroups (IRS) is a fruitful, well-studied concept in dynamics on groups. I will explain what it is and how to extend this notion to group von Neumann algebras $LG$, where $G$ is a discrete countable group. We call it invariant random sub-von Neumann algebra (IRA). As an application, I will provide a result concerning amenable IRAs, which generalises (in the discrete setup) a theorem of Bader-Duchesne-Lécureux about amenable IRSs. This is joint work with Tattwamasi Amrutam and Yair Hartman. |
