Abstract bivariant Cuntz semigroups II

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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 languageEnglish
JournalForum Mathematicum
DOIs
Publication statusPublished - 1 Jan 2019

Keywords

  • continuous poset
  • Cuntz semigroup
  • tensor product

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