Actions of compact and discrete quantum groups on operator systems
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866910472146518016 |
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| author | De Ro, Joeri Hataishi, Lucas |
| author_facet | De Ro, Joeri Hataishi, Lucas |
| contents | We introduce the notion of an action of a discrete or compact quantum group on an operator system, and study equivariant operator system injectivity. We then prove a duality result that relates equivariant injectivity with dual injectivity on associated crossed products. As an application, we give a description of the equivariant injective envelope of the reduced crossed product built from an action of a discrete quantum group on an operator system. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_14055 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Actions of compact and discrete quantum groups on operator systems De Ro, Joeri Hataishi, Lucas Operator Algebras Group Theory Quantum Algebra We introduce the notion of an action of a discrete or compact quantum group on an operator system, and study equivariant operator system injectivity. We then prove a duality result that relates equivariant injectivity with dual injectivity on associated crossed products. As an application, we give a description of the equivariant injective envelope of the reduced crossed product built from an action of a discrete quantum group on an operator system. |
| title | Actions of compact and discrete quantum groups on operator systems |
| topic | Operator Algebras Group Theory Quantum Algebra |
| url | https://arxiv.org/abs/2304.14055 |