Pointwise inner automorphisms of almost periodic factors

Autor:	Houdayer, Cyril, Isono, Yusuke
Rok vydání:	2022
Předmět:	Mathematics - Operator Algebras 46L10 46L36 46L54 46L55
Zdroj:	Selecta Math. (N.S.) 30 (2024), 58
Druh dokumentu:	Working Paper
Popis:	We prove that a large class of nonamenable almost periodic type ${\rm III_1}$ factors $M$, including all McDuff factors that tensorially absorb $R_\infty$ 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. Comment: 16 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2204.08344 Zobrazit plný text záznamu View this record from Arxiv