Recovering the Elliott invariant from the Cuntz semigroup

DOI10.1090/S0002-9947-2014-05833-9zbMath1408.46049arXiv1109.5803OpenAlexW2078840143MaRDI QIDQ5420101

Francesc Perera, Luis Santiago, Ramon Antoine, Marius Dǎdǎrlat

Publication date: 11 June 2014

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.5803

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) General theory of (C^*)-algebras (46L05) Classifications of (C^*)-algebras (46L35) (K_0) as an ordered group, traces (19K14)

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The unitary Cuntz semigroup on the classification of non-simple \(C^\ast\)-algebras ⋮ A local characterization for the Cuntz semigroup of AI-algebras ⋮ A unitary Cuntz semigroup for \(C^\ast \)-algebras of stable rank one ⋮ Tensor products and regularity properties of Cuntz semigroups ⋮ Abstract bivariant Cuntz semigroups. II ⋮ Cuntz semigroups of ultraproduct C∗‐algebras ⋮ \(C^*\)-algebras of stable rank one and their Cuntz semigroups ⋮ Uniformly based Cuntz semigroups and approximate intertwinings

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