Abstract
©2019 Walter de Gruyter GmbH, Berlin/Boston. 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.
Original language | English |
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Journal | Forum Mathematicum |
DOIs | |
Publication status | Published - 1 Jan 2019 |
Keywords
- continuous poset
- Cuntz semigroup
- tensor product