Rigidity of measured equivalence relations and von
Neumann algebras
Cyril Houdayer
In this talk, I will survey some recent results regarding the unique
Cartan decomposition
of von Neumann algebras arising from nonsingular free ergodic actions
of hyperbolic
groups and free product groups. This is based on some joint work with
S. Vaes, and R.
Boutonnet and S. Raum.