Pointwise inner automorphisms of almost periodic factors

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Pointwise inner automorphisms of almost periodic factors

Houdayer, Cyril; Isono, Yusuke

Selecta mathematica (Basel, Switzerland), 2024/9, Volume: 30, Issue: 4

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We prove that a large class of nonamenable almost periodic type III 1 factors M , including all McDuff factors that tensorially absorb R ∞ and all free Araki–Woods factors, satisfy Haagerup–Størmer’s conjecture (1988): any pointwise inner automorphism of M is the composition of an inner and a modular automorphism.

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