Kirchberg -algebras with real rank zero and intermediate cancellation
Rasmus Bentmann
Georg-August Universität Göttingen, Germany
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Abstract
A universal coefficient theorem is proved for -algebras over an arbitrary finite -space which have vanishing boundary maps. Under bootstrap assumptions, this leads to a complete classification of unital/stable real-rank-zero Kirchberg -algebras with intermediate cancellation. Range results are obtained for (unital) purely infinite graph -algebras with intermediate cancellation and Cuntz–Krieger algebras with intermediate cancellation. Permanence results for extensions of these classes follow.
Cite this article
Rasmus Bentmann, Kirchberg -algebras with real rank zero and intermediate cancellation. J. Noncommut. Geom. 8 (2014), no. 4, pp. 1061–1081
DOI 10.4171/JNCG/178