McDuff superrigidity for group II$_1$ factors
Operator Algebras
2025-12-01 v1 Group Theory
Abstract
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 McDuff and exhibit a new rigidity phenomenon, termed McDuff superrigidity: an arbitrary group satisfying decomposes as for an ICC amenable group .
Keywords
Cite
@article{arxiv.2511.23123,
title = {McDuff superrigidity for group II$_1$ factors},
author = {Juan Felipe Ariza Mejía and Ionuţ Chifan and Denis Osin and Bin Sun},
journal= {arXiv preprint arXiv:2511.23123},
year = {2025}
}