On the ordered \(K_0\) group of a simple \(C^*\)-algebra

DOI10.1023/A:1007758419702zbMath0901.46055OpenAlexW2334099804MaRDI QIDQ1386680

Klaus Thomsen

Publication date: 29 November 1998

Published in: \(K\)-Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1007758419702

zbMATH Keywords

tracesChoquet simplexorder unitcountable simple and unperforated partially ordered Abelian groupinductive limit of a sequence of subhomogeneous \(C^*\)-algebras

Mathematics Subject Classification ID

Classifications of (C^*)-algebras (46L35) (K_0) as an ordered group, traces (19K14)

Related Items (4)

Cancellation and stable rank for direct limits of recursive subhomogeneous algebras ⋮ On the bundle of KMS state spaces for flows on a \(\mathcal{Z}\)-absorbing \(C^*\)-algebra ⋮ On classification of nonunital amenable simple \(C^\ast\)-algebras. III: The range and the reduction ⋮ Every classifiable simple C\(^*\)-algebra has a Cartan subalgebra

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