3 papers
math.OA2019
Ozawa's class for locally compact groups and unique prime factorization
Tobe Deprez
We study class for locally compact groups. We characterize locally compact groups in this class as groups having an amenable action on a boundary that is small at infi…
math.OA2017
Rigidity for von Neumann algebras given by locally compact groups and their crossed products
Arnaud Brothier, Tobe Deprez, Stefaan Vaes
We prove the first rigidity and classification theorems for crossed product von Neumann algebras given by actions of non-discrete, locally compact groups. We prove that for arbitra…
math.OA2016
Inner amenability, property Gamma, McDuff II_1 factors and stable equivalence relations
Tobe Deprez, Stefaan Vaes
We say that a countable group is McDuff if it admits a free ergodic probability measure preserving action such that the crossed product is a McDuff II_1 factor. Similarly, …