Abstract Bivariant Cuntz Semigroups II
Operator Algebras
2024-12-05 v2
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 .
Cite
@article{arxiv.1811.08689,
title = {Abstract Bivariant Cuntz Semigroups II},
author = {Ramon Antoine and Francesc Perera and Hannes Thiel},
journal= {arXiv preprint arXiv:1811.08689},
year = {2024}
}
Comments
Minor changes, 21 pages, Forum Math. (accepted version)