W$^*$-superrigidity for property (T) groups with infinite center
Operator Algebras
2026-04-21 v3 Group Theory
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.
Cite
@article{arxiv.2503.12742,
title = {W$^*$-superrigidity for property (T) groups with infinite center},
author = {Ionuţ Chifan and Adriana Fernández Quero and Denis Osin and Hui Tan},
journal= {arXiv preprint arXiv:2503.12742},
year = {2026}
}
Comments
This version incorporates revisions requested by the referees, including an additional hypothesis in Theorem F. To appear in Advances in Mathematics