A classification of simple limits of splitting interval algebras

DOI10.1006/jfan.1997.3120zbMath0921.46057OpenAlexW2074661453MaRDI QIDQ1375922

Hongbing Su, Xinhui Jiang

Publication date: 17 September 1999

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1997.3120

zbMATH Keywords

classificationRiesz decomposition propertyamenable \(C^*\)-algebrassimple limits of splitting interval algebras

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Classifications of (C^*)-algebras (46L35)

Related Items

Recursive subhomogeneous algebras, On the classification of simple inductive limit \(C^{*}\)-algebras. II: The isomorphism theorem, 𝐶*-algebras associated with branched coverings, On invariants of \(\mathrm C^{\ast}\)-algebras with the ideal property, On tracial approximation, Lifting \(KK\)-elements, asymptotic unitary equivalence and classification of simple C\(^*\)-algebras, The classification of separable simple \(C^{*}\)-algebras which are inductive limits of continuous-trace \(C^{*}\)-algebras with spectrum homeomorphic to the closed interval \([0,1\)], Classification of inductive limits of 1-dimensional NCCW complexes, Strongly self-absorbing $C^{*}$-algebras

Cites Work

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• The state space of the \(K_ 0\)-group of a simple separable \(C^*\)- algebra
• On the classification of C*-algebras of real rank zero.
• Density of the self-adjoint elements with finite spectrum in an irrational rotation $C^*$-algebra.
• Limits of certain subhomogeneous $C^*$-algebras
• Inductive Limits of Interval Algebras: The Tracial State Space
• On the classification of 𝐶*-algebras of real rank zero: inductive limits of matrix algebras over non-Hausdorff graphs