Kirchberg X-algebras with real rank zero and intermediate cancellation
Kirchberg X-algebras with real rank zero and intermediate cancellation
复制标题
具有实零阶和中间取消的 Kirchberg X 代数
DOI：
10.4171/jncg/178
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发表时间：
2013
期刊：
影响因子：
--
通讯作者：
Rasmus Bentmann
中科院分区：
文献类型：
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作者：
Rasmus Bentmann
证明了任意有限T_0-空间X上具有消失边界映射的C ~*-代数的一个泛系数定理。在Bootstrap假设下，这导致了具有中间消去的酉/稳定实秩零基希贝格X-代数的完全分类。得到了具有中间消去的纯无限图C ~*-代数和具有中间消去的Cuntz-Krieger代数的值域结果.这些类的扩展的持久性结果如下。
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.