An Application of Idempotent Monads and Comonads to Compactifications and Unitizations
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866908761261604864 |
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| author | Spiker, Jeri Ann |
| author_facet | Spiker, Jeri Ann |
| contents | This paper uses monads and comonads to establish a certain type of equivalence between two subcategories, one reflective and one coreflective, in a category whose objects represent compactifications of non-compact locally compact Hausdorff spaces. The equivalence is then examined in the dual category of unitizations of non-unital commutative $C^*$-algebras and subsequently generalized to the noncommutative case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_07940 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | An Application of Idempotent Monads and Comonads to Compactifications and Unitizations Spiker, Jeri Ann Operator Algebras This paper uses monads and comonads to establish a certain type of equivalence between two subcategories, one reflective and one coreflective, in a category whose objects represent compactifications of non-compact locally compact Hausdorff spaces. The equivalence is then examined in the dual category of unitizations of non-unital commutative $C^*$-algebras and subsequently generalized to the noncommutative case. |
| title | An Application of Idempotent Monads and Comonads to Compactifications and Unitizations |
| topic | Operator Algebras |
| url | https://arxiv.org/abs/2601.07940 |