Abstract Bivariant Cuntz Semigroups

DOI10.1093/imrn/rny143zbMath1473.46056arXiv1702.01588OpenAlexW2605645216MaRDI QIDQ5151560

Francesc Perera, Hannes Thiel, Ramon Antoine

Publication date: 19 February 2021

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.01588

zbMATH Keywords

\(C^*\)-algebratensor productCuntz semigroupcontinuous poset

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) General theory of (C^*)-algebras (46L05) Classifications of (C^*)-algebras (46L35) Connections of semigroups with homological algebra and category theory (20M50) Monoidal categories, symmetric monoidal categories (18M05)

Related Items (12)

Covering dimension of Cuntz semigroups II ⋮ The Cuntz semigroup of unital commutative AI-algebras ⋮ A systematic approach for invariants of $C^*$-algebras ⋮ The Global Glimm Property ⋮ Soft operators in C*-algebras ⋮ Traces on ultrapowers of \(\mathrm{C}^{*}\)-algebras ⋮ A local characterization for the Cuntz semigroup of AI-algebras ⋮ Abstract bivariant Cuntz semigroups. II ⋮ Cuntz semigroups of ultraproduct C∗‐algebras ⋮ Covering dimension of Cuntz semigroups ⋮ Uniformly based Cuntz semigroups and approximate intertwinings ⋮ A categorical study on the generalized type semigroup

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