The graph groupoid of a quantum sphere
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866909001005924352 |
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| author | D'Andrea, Francesco |
| author_facet | D'Andrea, Francesco |
| contents | Quantum spheres are among the most studied examples of compact quantum spaces, described by C*-algebras which are Cuntz-Krieger algebras of a directed graph, as proved by Hong and Szymański in 2002. About five years earlier, in 1997, Sheu proved that the C*-algebra of a quantum sphere is a groupoid C*-algebra. Here we show that the path groupoid of the directed graph of Hong and Szymański is isomorphic to the groupoid discovered by Sheu. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_02169 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The graph groupoid of a quantum sphere D'Andrea, Francesco Operator Algebras Mathematical Physics Differential Geometry Primary: 46L67, Secondary: 20G42, 58B32, 22A22 Quantum spheres are among the most studied examples of compact quantum spaces, described by C*-algebras which are Cuntz-Krieger algebras of a directed graph, as proved by Hong and Szymański in 2002. About five years earlier, in 1997, Sheu proved that the C*-algebra of a quantum sphere is a groupoid C*-algebra. Here we show that the path groupoid of the directed graph of Hong and Szymański is isomorphic to the groupoid discovered by Sheu. |
| title | The graph groupoid of a quantum sphere |
| topic | Operator Algebras Mathematical Physics Differential Geometry Primary: 46L67, Secondary: 20G42, 58B32, 22A22 |
| url | https://arxiv.org/abs/2407.02169 |