论文标题

因子类固醇的一些例子

Some examples of factor groupoids

论文作者

Haslehurst, Mitch

论文摘要

我们研究了Hausdorffétale因子类固醇的两个示例。一个来自AF-Groupoid的单位空间的商空间,另一个来自Robin Deeley,Ian Putnam和Karen Strung考虑的Cantor Minimal系统的某些非均匀扩展。较少的c $^*$ - 因子类固醇的代数是在Elliott方案中分类的,我们描述了它们的$ K $理论和痕迹。

We examine two classes of examples of Hausdorff étale factor groupoids; one comes from taking a quotient space of the unit space of an AF-groupoid, and the other comes from certain nonhomogeneous extensions of Cantor minimal systems considered by Robin Deeley, Ian Putnam, and Karen Strung. The reduced C$^*$-algebras of the factor groupoids are classifiable in the Elliott scheme, and we describe their $K$-theory and traces.

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