Riesz decomposition in inductive limit \(C^*\)-algebras

DOI10.1216/rmjm/1181072345zbMath0820.46064OpenAlexW2023409897MaRDI QIDQ1890796

Kenneth R. Goodearl

Publication date: 22 May 1995

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072345

zbMATH Keywords

projectionsRiesz decomposition propertyreal rank zeroinductive limits of finite direct products of homogeneous \(C^*\)-algebras

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Inductive and projective limits in functional analysis (46M40) (K_0) as an ordered group, traces (19K14)

Related Items

Tensor products of classifiable C∗-algebras, Dimension growth for \(C^{*}\)-algebras, Recursive subhomogeneous algebras, Cancellation and stable rank for direct limits of recursive subhomogeneous algebras, Flat dimension growth for \(C^{*}\)-algebras, Appendix to ``Regularity of Villadsen algebras: The failure of the Corona Factorization Property for the Villadsen algebra $\mathcal{V}_\infty$, \(K_ 0\) of multiplier algebras of \(C^*\)-algebras with real rank zero, Ideal Structure of Multiplier Algebras of Simple C^*-algebras With Real Rank Zero, Finite sums and products of commutators in inductive limit \(C^ \ast\)- algebras, Crossed products of the Cantor set by free minimal actions of \(\mathbb Z^d\), A class of simple \(C^*\)-algebras with stable rank one

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