Pointwise inner automorphisms of almost periodic factors

2022/04/18 by Houdayer, Cyril, Isono, Yusuke · 1 citation
#46L10 #46L36 #46L54 #46L55 #FOS: Mathematics #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.2204.08344

Abstract

We prove that a large class of nonamenable almost periodic type \rm III₁ factors M, including all McDuff factors that tensorially absorb R_∞ and all free Araki-Woods factors, satisfy Haagerup-Stormer's conjecture (1988): any pointwise inner automorphism of M is the composition of an inner and a modular automorphism.

Cited by

• Cocycle perturbations and ergodicity for actions on type III factors

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