Logo image
W⁎-superrigidity for property (T) groups with infinite center
Journal article   Peer reviewed

W⁎-superrigidity for property (T) groups with infinite center

Ionuţ Chifan, Adriana Fernández Quero, Denis Osin and Hui Tan
Advances in mathematics (New York. 1965), Vol.496, 110979
06/2026
DOI: 10.1016/j.aim.2026.110979

View Online

Abstract

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 algebras and geometric group theory, we establish several cases where this conjecture holds. In particular, we provide the first example of a W⁎-superrigid property (T) group with infinite center. In the course of proving our main results, we also generalize the main W⁎-superrigidity result from [9] to twisted group factors.
Group von Neumann algebras Rigidity Wreath-like product groups

Details

Metrics

1 Record Views
Logo image