The K-theoretical range of Cuntz-Krieger algebras

Abstract

We augment Restorff's classification of purely infinite Cuntz-Krieger algebras by describing the range of his invariant on purely infinite Cuntz-Krieger algebras. We also describe its range on purely infinite graph C*-algebras with finitely many ideals, and provide 'unital' range results for purely infinite Cuntz-Krieger algebras and unital purely infinite graph C*-algebras.

16 pages. This article contains material that was originally contained arXiv:1301.7223v1. v2: minor changes, v3: minor changes, final version

References in corpus (3)

• Index maps in the K-theory of graph algebras
• Reduction of filtered K-theory and a characterization of Cuntz-Krieger algebras
• Corners of Cuntz-Krieger algebras

Cited by in corpus (7)

• The complete classification of unital graph $C^{\ast }$-algebras: Geometric and strong
• Geometric classification of graph $C^{\ast }$-algebras over finite graphs
• Classification of real rank zero, purely infinite C*-algebras with at most four primitive ideals
• Strong classification of purely infinite Cuntz-Krieger algebras
• Reduction of filtered K-theory and a characterization of Cuntz-Krieger algebras
• The Ranges of K-theoretic Invariants for Nonsimple Graph Algebras
• The nuclear dimension of graph C*-algebras