Invariant Random Subalgebras

The notion of invariant random subgroups (IRS) is a fruitful, well-studied concept in dynamics on groups. In this talk, Hanna Oppelmayer 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, Hanna 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.