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arXiv · 1811.08689

Abstract Bivariant Cuntz Semigroups II

Ramon Antoine·Francesc Perera·Hannes Thiel
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Abstract

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 $R\cong [\![ R,R ]\!]$.

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Ramon Antoine, Francesc Perera, Hannes Thiel. 2018-11-21. Abstract Bivariant Cuntz Semigroups II. https://arxiv.org/abs/1811.08689

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