Rigidity and structural results in von Neumann algebras and Ergodic Theory KU Leuven
In their pioneering work, Murray and von Neumann found a natural way to associate a von Neumann algebra to every countable group G and to any of its measure preserving actions. The classification of these von Neumann algebras is in general a hard problem and it is driven by the following fundamental question: what aspects of the group G and of an action of G are remembered by the associated von Neumann algebras? In the amenable case, no ...