On invariant von Neumann subalgebras rigidity property

Tattwamasi Amrutam, Yongle Jiang

Research output: Contribution to journalArticlepeer-review

Abstract

We say that a countable discrete group Γ satisfies the invariant von Neumann subalgebras rigidity (ISR) property if every Γ- invariant von Neumann subalgebra M in L(Γ) is of the form L(Λ) for some normal subgroup Λ◁Γ. We show many “negatively curved” groups, including all torsion free non-amenable hyperbolic groups and torsion free groups with positive first L2-Betti number under a mild assumption, and certain finite direct product of them have this property. We also discuss whether the torsion-free assumption can be relaxed.

Original languageEnglish
Article number109804
JournalJournal of Functional Analysis
Volume284
Issue number5
DOIs
StatePublished - 1 Mar 2023

Keywords

  • First L-Betti number
  • Hyperbolic groups
  • Invariant von Neumann subalgebras

ASJC Scopus subject areas

  • Analysis

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