Pointwise inner automorphisms of almost periodic factors
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866913942834511872 |
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| author | Houdayer, Cyril Isono, Yusuke |
| author_facet | Houdayer, Cyril Isono, Yusuke |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2204_08344 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Pointwise inner automorphisms of almost periodic factors Houdayer, Cyril Isono, Yusuke Operator Algebras 46L10, 46L36, 46L54, 46L55 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. |
| title | Pointwise inner automorphisms of almost periodic factors |
| topic | Operator Algebras 46L10, 46L36, 46L54, 46L55 |
| url | https://arxiv.org/abs/2204.08344 |