On groupoid-graded C*-algebras and equivalent subcategories linked via monads and comonads
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866909947386658816 |
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| author | Bédos, Erik Kaliszewski, S. Quigg, John |
| author_facet | Bédos, Erik Kaliszewski, S. Quigg, John |
| contents | We present a new method, involving monads and comonads from category theory, to help establish a certain type of equivalence of subcategories. As a case study we consider the category of topological gradings of $C^*$-algebras over a fixed Hausdorff étale groupoid. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_06461 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On groupoid-graded C*-algebras and equivalent subcategories linked via monads and comonads Bédos, Erik Kaliszewski, S. Quigg, John Operator Algebras 46L55 (Primary) 18A40, 46L89 (Secondary) We present a new method, involving monads and comonads from category theory, to help establish a certain type of equivalence of subcategories. As a case study we consider the category of topological gradings of $C^*$-algebras over a fixed Hausdorff étale groupoid. |
| title | On groupoid-graded C*-algebras and equivalent subcategories linked via monads and comonads |
| topic | Operator Algebras 46L55 (Primary) 18A40, 46L89 (Secondary) |
| url | https://arxiv.org/abs/2512.06461 |