Abstract bivariant Cuntz semigroups II
We previously showed that abstract Cuntz semigroups form a closed symmetric monoidal category. This automatically provides additional structure in the category, such as a composition and an external tensor product, for which we give concrete constructions in order to be used in applications. We furt...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2019 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:306120 |
| Acceso en línea: | https://ddd.uab.cat/record/306120 https://dx.doi.org/urn:doi:10.1515/forum-2018-0285 |
| Access Level: | acceso abierto |
| Palabra clave: | Cuntz semigroup Tensor product Continuous poset |
| Sumario: | We previously showed that abstract Cuntz semigroups form a closed symmetric monoidal category. This automatically provides additional structure in the category, such as a composition and an external tensor product, for which we give concrete constructions in order to be used in applications. We further analyze the structure of not necessarily commutative Cu-semirings, and we obtain, under mild conditions, a new characterization of solid Cu-semirings R by the condition that R ≅〚R,R〛. |
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