Kirchberg X-algebras with real rank zero and intermediate cancellation
Operator Algebras
2013-11-05 v3 K-Theory and Homology
Abstract
A universal coefficient theorem is proved for C*-algebras over an arbitrary finite T_0-space X which have vanishing boundary maps. Under bootstrap assumptions, this leads to a complete classification of unital/stable real-rank-zero Kirchberg X-algebras with intermediate cancellation. Range results are obtained for (unital) purely infinite graph C*-algebras with intermediate cancellation and Cuntz-Krieger algebras with intermediate cancellation. Permanence results for extensions of these classes follow.
Keywords
Cite
@article{arxiv.1301.6652,
title = {Kirchberg X-algebras with real rank zero and intermediate cancellation},
author = {Rasmus Bentmann},
journal= {arXiv preprint arXiv:1301.6652},
year = {2013}
}
Comments
v1: 12 pages v2: 16 pages, various changes compared to first version, results essentially unchanged v3: minor changes