paper

Abstract Bivariant Cuntz Semigroups II

arXiv:1811.08689

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 by the condition that .

Minor changes, 21 pages, Forum Math. (accepted version)

Abstract Bivariant Cuntz Semigroups II · wovepaper