Journal of Operator Theory

Volume 86, Issue 1, Summer 2021 pp. 3-15.

A rigidity result for normalized subfactors

Authors: Vadim Alekseev

$1$ , Rahel Brugger

$2$
Author institution:

$1$ Institut fuer Geometrie, Technische Universitaet Dresden, 01062 Dresden, Germany

$2$ Institut fuer Geometrie, Technische Universitaet Dresden, 01062 Dresden, Germany

Summary: 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.

DOI: http://dx.doi.org/10.7900/jot.2019dec19.2300
Keywords: von Neumann algebras, subfactors, rigidity

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