A rigidity result for normalized subfactors

Fuente: arXiv
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Hauptverfasser: Alekseev, Vadim, Brugger, Rahel
Format: Preprint
Veröffentlicht: 2019
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author Alekseev, Vadim
Brugger, Rahel
author_facet Alekseev, Vadim
Brugger, Rahel
contents We show a rigidity result for subfactors that are normalized by a representation of a lattice $Γ$ in a higher rank simple Lie group with trivial center into a finite factor. This implies that every subfactor of $LΓ$ which is normalized by the natural copy of $Γ$ is trivial or of finite index.
format Preprint
id arxiv_https___arxiv_org_abs_1903_04895
institution arXiv
publishDate 2019
record_format arxiv
spellingShingle A rigidity result for normalized subfactors
Alekseev, Vadim
Brugger, Rahel
Operator Algebras
22E40, 46L10, 22D40
We show a rigidity result for subfactors that are normalized by a representation of a lattice $Γ$ in a higher rank simple Lie group with trivial center into a finite factor. This implies that every subfactor of $LΓ$ which is normalized by the natural copy of $Γ$ is trivial or of finite index.
title A rigidity result for normalized subfactors
topic Operator Algebras
22E40, 46L10, 22D40
url https://arxiv.org/abs/1903.04895