Structure of modular invariant subalgebras in free Araki–Woods factors

Rémi Boutonnet; Cyril Houdayer

doi:10.2140/apde.2016.9.1989

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Home > Journals > Anal. PDE > Volume 9 > Issue 8 > Article

2016 Structure of modular invariant subalgebras in free Araki–Woods factors

Rémi Boutonnet, Cyril Houdayer

Anal. PDE 9(8): 1989-1998 (2016). DOI: 10.2140/apde.2016.9.1989

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Abstract

We show that any amenable von Neumann subalgebra of any free Araki–Woods factor that is globally invariant under the modular automorphism group of the free quasifree state is necessarily contained in the almost periodic free summand.

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Rémi Boutonnet. Cyril Houdayer. "Structure of modular invariant subalgebras in free Araki–Woods factors." Anal. PDE 9 (8) 1989 - 1998, 2016. https://doi.org/10.2140/apde.2016.9.1989

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Received: 24 February 2016; Revised: 9 June 2016; Accepted: 3 October 2016; Published: 2016

First available in Project Euclid: 16 November 2017

zbMATH: 1369.46053

MathSciNet: MR3599523

Digital Object Identifier: 10.2140/apde.2016.9.1989

Subjects:

Primary: 46L10 , 46L36 , 46L54

Keywords: free Araki–Woods factors , Popa's asymptotic orthogonality property , type III factors , ultraproduct von Neumann algebras

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Rémi Boutonnet, Cyril Houdayer "Structure of modular invariant subalgebras in free Araki–Woods factors," Analysis & PDE, Anal. PDE 9(8), 1989-1998, (2016)

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