Pointwise inner automorphisms of almost periodic factors.

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. [ABSTRACT FROM AUTHOR]