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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2412.17564 |
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| _version_ | 1866910970170834944 |
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| author | Ozawa, Narutaka |
| author_facet | Ozawa, Narutaka |
| contents | We prove that the approximately inner automorphism group of a separable strongly stable von Neumann algebra is contractible in the u-topology. Thus the automorphism group of the hyperfinite type III_1 factor is contractible. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_17564 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Contractibility of the automorphism group of a von Neumann algebra Ozawa, Narutaka Operator Algebras 58B05, 46L10 We prove that the approximately inner automorphism group of a separable strongly stable von Neumann algebra is contractible in the u-topology. Thus the automorphism group of the hyperfinite type III_1 factor is contractible. |
| title | Contractibility of the automorphism group of a von Neumann algebra |
| topic | Operator Algebras 58B05, 46L10 |
| url | https://arxiv.org/abs/2412.17564 |