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arxiv: 1309.7162 · v3 · pith:OMJV57MJnew · submitted 2013-09-27 · 🧮 math.OA · math.KT

The K-theoretical range of Cuntz-Krieger algebras

classification 🧮 math.OA math.KT
keywords algebrasinfinitepurelycuntz-kriegerrangegraphunitalaugment
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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.

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