The linking von Neumann algebras of W*-TROs
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866909595072462848 |
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| author | Wang, Liguang Chen, Hongjie Wong, Ngai-Ching |
| author_facet | Wang, Liguang Chen, Hongjie Wong, Ngai-Ching |
| contents | In this note, we show that a von Neumann algebra can be written as the linking von Neumann algebra of a W*-TRO if and only if it contains no abelian direct summand. We also provide some new characterizations of nuclear TROs and $W^\ast$-exact TROs in terms of the properties of their linking algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_10154 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The linking von Neumann algebras of W*-TROs Wang, Liguang Chen, Hongjie Wong, Ngai-Ching Operator Algebras Functional Analysis 46L10, 46L50 In this note, we show that a von Neumann algebra can be written as the linking von Neumann algebra of a W*-TRO if and only if it contains no abelian direct summand. We also provide some new characterizations of nuclear TROs and $W^\ast$-exact TROs in terms of the properties of their linking algebras. |
| title | The linking von Neumann algebras of W*-TROs |
| topic | Operator Algebras Functional Analysis 46L10, 46L50 |
| url | https://arxiv.org/abs/2407.10154 |