3 papers
math.GR2026
On the first-order genus of wreath products and their central extensions
Olga Kharlampovich, Alexei Miasnikov, Denis Osin
We prove that groups of the form , where , are regularly bi-interpretable with and therefore are first-order ri…
math.OA2025
McDuff superrigidity for group II factors
Juan Felipe Ariza Mejía, Ionuţ 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…
math.OA2025
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…