Crossed products and C*-covers of semi-Dirichlet operator algebras
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| _version_ | 1866916656234627072 |
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| author | Humeniuk, Adam Katsoulis, Elias G. Ramsey, Christopher |
| author_facet | Humeniuk, Adam Katsoulis, Elias G. Ramsey, Christopher |
| contents | In this paper, we show that the semi-Dirichlet C*-covers of a semi-Dirichlet operator algebra form a complete lattice, establishing that there is a maximal semi-Dirichlet C*-cover. Given an operator algebra dynamical system we prove a dilation theory that shows that the full crossed product is isomorphic to the relative full crossed product with respect to this maximal semi-Dirichlet cover. In this way, we can show that every semi-Dirichlet dynamical system has a semi-Dirichlet full crossed product. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_16130 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Crossed products and C*-covers of semi-Dirichlet operator algebras Humeniuk, Adam Katsoulis, Elias G. Ramsey, Christopher Operator Algebras 47L55, 46L05 In this paper, we show that the semi-Dirichlet C*-covers of a semi-Dirichlet operator algebra form a complete lattice, establishing that there is a maximal semi-Dirichlet C*-cover. Given an operator algebra dynamical system we prove a dilation theory that shows that the full crossed product is isomorphic to the relative full crossed product with respect to this maximal semi-Dirichlet cover. In this way, we can show that every semi-Dirichlet dynamical system has a semi-Dirichlet full crossed product. |
| title | Crossed products and C*-covers of semi-Dirichlet operator algebras |
| topic | Operator Algebras 47L55, 46L05 |
| url | https://arxiv.org/abs/2309.16130 |