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