Structure of modular invariant subalgebras in free Araki-Woods factors

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

9 pages

References in corpus (1)

• Gamma stability in free product von Neumann algebras

Cited by in corpus (4)

• Classification of a family of non almost periodic free Araki-Woods factors
• Complete metric approximation property for $q$-Araki-Woods algebras
• Murray-von Neumann dimension for strictly semifinite weights
• A free product pair rigidity result in von Neumann algebras