Topological higher-rank graphs and the $C^*$-algebras of topological 1-graphs
Topological higher-rank graphs and the $C^*$-algebras of topological 1-graphs
复制标题
拓扑高阶图和拓扑 1-图的 $C^*$-代数
DOI：
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发表时间：
2005
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通讯作者：
Trent Yeend
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文献类型：
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作者：
Trent Yeend
本文引入了拓扑高阶图的概念，它是高阶图和拓扑图的统一推广。利用广群技巧，定义了拓扑高秩图的Toeplitz和Cuntz-Krieger代数，并证明了所定义的$C^*$-代数与已有理论是一致的.
We introduce the notion of a topological higher-rank graph, a unified generalization of the higher-rank graph and the topological graph. Using groupoid techniques, we define the Toeplitz and Cuntz-Krieger algebras of topological higher-rank graphs, and show that the $C^*$-algebras defined are coherent with the existing theory.