Abstract bivariant Cuntz semigroups II

Research output: Contribution to journalArticleResearch


©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 languageEnglish
JournalForum Mathematicum
Publication statusPublished - 1 Jan 2019


  • continuous poset
  • Cuntz semigroup
  • tensor product


Dive into the research topics of 'Abstract bivariant Cuntz semigroups II'. Together they form a unique fingerprint.

Cite this