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| Format: | Preprint |
| Veröffentlicht: |
2018
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| Online-Zugang: | https://arxiv.org/abs/1811.08689 |
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| _version_ | 1866909414245531648 |
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| author | Antoine, Ramon Perera, Francesc Thiel, Hannes |
| author_facet | Antoine, Ramon Perera, Francesc Thiel, Hannes |
| contents | 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 analyse the structure of not necessarily commutative Cu-semi-rings and we obtain, under mild conditions, a new characterization of solid Cu-semirings $R$ by the condition that $R\cong [\![ R,R ]\!]$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1811_08689 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | Abstract Bivariant Cuntz Semigroups II Antoine, Ramon Perera, Francesc Thiel, Hannes Operator Algebras 06B35, 06F05, 46L05 (Primary), 06F25, 13J25, 15A69, 16W80, 16Y60, 18D20, 46M15 (Secondary) 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 analyse the structure of not necessarily commutative Cu-semi-rings and we obtain, under mild conditions, a new characterization of solid Cu-semirings $R$ by the condition that $R\cong [\![ R,R ]\!]$. |
| title | Abstract Bivariant Cuntz Semigroups II |
| topic | Operator Algebras 06B35, 06F05, 46L05 (Primary), 06F25, 13J25, 15A69, 16W80, 16Y60, 18D20, 46M15 (Secondary) |
| url | https://arxiv.org/abs/1811.08689 |