Structure of modular invariant subalgebras in free Araki-Woods factors

Rémi Boutonnet (1) , Cyril Houdayer (2)

1 IMB - Institut de Mathématiques de Bordeaux
2 UPD5 - Université Paris Descartes - Paris 5

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 quasi-free state is necessarily contained in the almost periodic free summand.

Domaines: Algèbres d'opérateurs [math.OA]

Rémi Boutonnet, Cyril Houdayer. Structure of modular invariant subalgebras in free Araki-Woods factors. Analysis & PDE, 2016, 9, pp.1989-1998. ⟨10.2140/apde.2016.9.1989⟩. ⟨hal-01449832⟩