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Structure of modular invariant subalgebras in free Araki-Woods factors

Published 4 Feb 2016 in math.OA | (1602.01741v2)

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.

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