English

A rigidity result for normalized subfactors

Operator Algebras 2026-04-28 v2

Abstract

We show a rigidity result for subfactors that are normalized by a representation of a lattice Γ\Gamma in a higher rank simple Lie group with trivial center into a finite factor. This implies that every subfactor of LΓL\Gamma which is normalized by the natural copy of Γ\Gamma is trivial or of finite index.

Keywords

Cite

@article{arxiv.1903.04895,
  title  = {A rigidity result for normalized subfactors},
  author = {Vadim Alekseev and Rahel Brugger},
  journal= {arXiv preprint arXiv:1903.04895},
  year   = {2026}
}

Comments

shorter proof and more general result

R2 v1 2026-06-23T08:05:34.796Z