The maximal quantum group-twisted tensor product of C*-algebras
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2015
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| _version_ | 1866913400172314624 |
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| author | Roy, Sutanu Timmermann, Thomas |
| author_facet | Roy, Sutanu Timmermann, Thomas |
| contents | We construct a maximal counterpart to the minimal quantum group-twisted tensor product of $C^{*}$-algebras studied by Meyer, Roy and Woronowicz, which is universal with respect to representations satisfying braided commutation relations. Much like the minimal one, this product yields a monoidal structure on the coactions of a quasi-triangular $C^{*}$-quantum group, the horizontal composition in a bicategory of Yetter-Drinfeld $C^{*}$-algebras, and coincides with a Rieffel deformation of the non-twisted tensor product in the case of group coactions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1511_06100 |
| institution | arXiv |
| publishDate | 2015 |
| record_format | arxiv |
| spellingShingle | The maximal quantum group-twisted tensor product of C*-algebras Roy, Sutanu Timmermann, Thomas Operator Algebras 81R50, 46L05, 46L55 We construct a maximal counterpart to the minimal quantum group-twisted tensor product of $C^{*}$-algebras studied by Meyer, Roy and Woronowicz, which is universal with respect to representations satisfying braided commutation relations. Much like the minimal one, this product yields a monoidal structure on the coactions of a quasi-triangular $C^{*}$-quantum group, the horizontal composition in a bicategory of Yetter-Drinfeld $C^{*}$-algebras, and coincides with a Rieffel deformation of the non-twisted tensor product in the case of group coactions. |
| title | The maximal quantum group-twisted tensor product of C*-algebras |
| topic | Operator Algebras 81R50, 46L05, 46L55 |
| url | https://arxiv.org/abs/1511.06100 |