A tensor product for representations of the Cuntz algebra and of the R. Thompson groups
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866916365658488832 |
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| author | Brothier, Arnaud Wijesena, Dilshan |
| author_facet | Brothier, Arnaud Wijesena, Dilshan |
| contents | The authors continue a series of articles studying certain unitary representations of the Richard Thompson groups $F,T,V$ called Pythagorean. They all extend to the Cuntz algebra $\mathcal{O}$ and conversely all representations of $\mathcal{O}$ are of this form. Via this approach we introduce a tensor product for a large class of representations of $F,T,V,\mathcal{O}$. We prove that a sub-category forms a tensor category and perform a number of explicit computations of fusion rules. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_12051 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A tensor product for representations of the Cuntz algebra and of the R. Thompson groups Brothier, Arnaud Wijesena, Dilshan Operator Algebras Group Theory Representation Theory The authors continue a series of articles studying certain unitary representations of the Richard Thompson groups $F,T,V$ called Pythagorean. They all extend to the Cuntz algebra $\mathcal{O}$ and conversely all representations of $\mathcal{O}$ are of this form. Via this approach we introduce a tensor product for a large class of representations of $F,T,V,\mathcal{O}$. We prove that a sub-category forms a tensor category and perform a number of explicit computations of fusion rules. |
| title | A tensor product for representations of the Cuntz algebra and of the R. Thompson groups |
| topic | Operator Algebras Group Theory Representation Theory |
| url | https://arxiv.org/abs/2408.12051 |