4 papers
W-superrigidity for property (T) groups with infinite center
Ionuţ Chifan, Adriana Fernández Quero, Denis Osin +1
We propose to study a natural version of Connes' Rigidity Conjecture that involves property (T) groups with infinite center. Utilizing techniques at the intersection of von Neumann…
Non-amenable C-superrigid groups that are not W-superrigid
Juan Felipe Ariza MejÃa, IonuÅ£ Chifan, Adriana Fernández Quero
Using techniques at the intersection of deformation/rigidity theory, geometric group theory, and the theory of -algebras, we construct a continuum of nonamenable groups th…
McDuff superrigidity for group II factors
Juan Felipe Ariza MejÃa, IonuÅ£ Chifan, Denis Osin +1
Developing new techniques at the interface of geometric group theory and von Neumann algebras, we identify the first examples of ICC groups whose von Neumann algebras are McDuf…
Rigidity results for group von Neumann algebras with diffuse center
Ionuţ Chifan, Adriana Fernández Quero, Hui Tan
We introduce the first examples of groups with infinite center which in a natural sense are completely recognizable from their von Neumann algebras, . Specifica…