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| Formato: | Preprint |
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2020
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| Acceso en liña: | https://arxiv.org/abs/2005.09821 |
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| _version_ | 1866914231148871680 |
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| author | Hartglass, Michael Palomares, Roberto Hernandez |
| author_facet | Hartglass, Michael Palomares, Roberto Hernandez |
| contents | Given an arbitrary countably generated rigid C*-tensor category, we construct a fully-faithful bi-involutive strong monoidal functor onto a subcategory of finitely generated projective bimodules over a simple, exact, separable, unital C*-algebra with unique trace. The C*-algebras involved are built from the category using the GJS-construction introduced in arXiv:0911.4728 and further studied in arXiv:1208.5505 and arXiv:1401.2486. Out of this category of Hilbert C*-bimodules, we construct a fully-faithful bi-involutive strong monoidal functor into the category of bi-finite spherical bimodules over an interpolated free group factor. The composite of these two functors recovers the functor constructed in arXiv:1208.5505 |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2005_09821 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Realizations of Rigid C*-Tensor Categories as Bimodules over GJS C*-Algebras Hartglass, Michael Palomares, Roberto Hernandez Operator Algebras Quantum Algebra 46L37, 46L08, 46L54 Given an arbitrary countably generated rigid C*-tensor category, we construct a fully-faithful bi-involutive strong monoidal functor onto a subcategory of finitely generated projective bimodules over a simple, exact, separable, unital C*-algebra with unique trace. The C*-algebras involved are built from the category using the GJS-construction introduced in arXiv:0911.4728 and further studied in arXiv:1208.5505 and arXiv:1401.2486. Out of this category of Hilbert C*-bimodules, we construct a fully-faithful bi-involutive strong monoidal functor into the category of bi-finite spherical bimodules over an interpolated free group factor. The composite of these two functors recovers the functor constructed in arXiv:1208.5505 |
| title | Realizations of Rigid C*-Tensor Categories as Bimodules over GJS C*-Algebras |
| topic | Operator Algebras Quantum Algebra 46L37, 46L08, 46L54 |
| url | https://arxiv.org/abs/2005.09821 |