On the Structure of Cuntz Semigroups in (Possibly) Nonunital C*-algebras

DOI10.4153/CMB-2014-040-5zbMath1334.46043arXiv1210.2235OpenAlexW3105728594WikidataQ58481252 ScholiaQ58481252MaRDI QIDQ5252203

Andrew S. Toms, Aaron Tikuisis

Publication date: 29 May 2015

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.2235

zbMATH Keywords

dimension functionsapproximately subhomogeneous \(C^\ast\)-algebrasCuntz semigroupstably projectionless \(C^\ast\)-algebrasslow dimension growthnuclear \(C^\ast\)-algebras

Mathematics Subject Classification ID

Noncommutative topology (46L85) (K)-theory and operator algebras (including cyclic theory) (46L80) General theory of (C^*)-algebras (46L05) Classifications of (C^*)-algebras (46L35) Limit algebras, subalgebras of (C^*)-algebras (47L40)

Related Items (14)

Unitary groups and augmented Cuntz semigroups of separable simple 𝒵-Stable C∗-algebras ⋮ Nuclear dimension of simple stably projectionless \(C^\ast\)-algebras ⋮ The radius of comparison of the crossed product by a weakly tracially strictly approximately inner action ⋮ The Global Glimm Property ⋮ Dynamical comparison and \(\mathcal{Z} \)-stability for crossed products of simple \(C^\ast \)-algebras ⋮ Tracial oscillation zero and \(\mathcal{Z}\)-stability ⋮ The corona algebra of the stabilized Jiang-Su algebra ⋮ Nuclear dimension, \(\mathcal Z\)-stability, and algebraic simplicity for stably projectionless \(C^\ast\)-algebras ⋮ Covering Dimension of C*-Algebras and 2-Coloured Classification ⋮ Compact group actions with the Rokhlin property ⋮ Stabilising uniform property $\Gamma $ ⋮ \(C^*\)-algebras of stable rank one and their Cuntz semigroups ⋮ A revised augmented Cuntz semigroup ⋮ Remarks on some simple $C^*$-algebras admitting a unique lower semicontinuous 2-quasitrace

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