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Structure of modular invariant subalgebras in free Araki-Woods factors. (English) Zbl 1369.46053
Summary: 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.

MSC:
46L10 General theory of von Neumann algebras
46L36 Classification of factors
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