A rigidity result for normalized subfactors

Abstract

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

shorter proof and more general result

References in corpus (1)

• On a Class of Type II${}_1$ Factors with Betti Numbers Invariants

Cited by in corpus (3)

• Charmenability of higher rank arithmetic groups
• On the amenable subalgebras of group von Neumann algebras
• Invariant $C^{\ast }$-subalgebras of the reduced group $C^{\ast }$-algebra