Structure of modular invariant subalgebras in free Araki-Woods factors
classification
🧮 math.OA
keywords
freearaki-woodsinvariantmodularalmostamenableautomorphismcontained
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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.
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