Groupoid models for the C*-algebras of topological higher-rank graphs
Groupoid models for the C*-algebras of topological higher-rank graphs
复制标题
拓扑高阶图的 C* 代数的群群模型
DOI：
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发表时间：
2006
期刊：
影响因子：
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通讯作者：
Trent Yeend
中科院分区：
文献类型：
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作者：
Trent Yeend
给出了拓扑高阶图的Toeplitz代数和Cuntz-Krieger代数的群拟模型。将图代数和拓扑动力系统理论中使用的群似模型推广到我们的环境中，证明了群似的本质自由性和可顺应性的结果，并推广了图代数群交叉积的结果。
We provide groupoid models for Toeplitz and Cuntz-Krieger algebras of topological higher-rank graphs. Extending the groupoid models used in the theory of graph algebras and topological dynamical systems to our setting, we prove results on essential freeness and amenability of the groupoids which capture the existing theory, and extend results involving group crossed products of graph algebras.