The K-theoretical range of Cuntz-Krieger algebras

DOI10.1016/j.jfa.2014.01.020zbMath1303.46046arXiv1309.7162OpenAlexW2073405583MaRDI QIDQ2253292

Rasmus Bentmann, Sara E. Arklint, Takeshi Katsura

Publication date: 25 July 2014

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

Full work available at URL: https://arxiv.org/abs/1309.7162

zbMATH Keywords

classificationCuntz-Krieger algebrasfiltered \(K\)-theory

Mathematics Subject Classification ID

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

Related Items (9)

The complete classification of unital graph \(C^{\ast}\)-algebras: geometric and strong ⋮ Extensions of Cuntz-Krieger algebras ⋮ Decidability of flow equivalence and isomorphism problems for graph C*-algebras and quiver representations ⋮ The nuclear dimension of graph \(C^\ast\)-algebras ⋮ Kirchberg \(X\)-algebras with real rank zero and intermediate cancellation ⋮ The ranges of 𝐾-theoretic invariants for nonsimple graph algebras ⋮ Classification of real rank zero, purely infinite \(C^{\ast}\)-algebras with at most four primitive ideals ⋮ Reduction of filtered K-theory and a characterization of Cuntz-Krieger algebras ⋮ Strong classification of purely infinite Cuntz-Krieger algebras

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