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arXiv · 1610.05268

Cartan Subalgebras of Topological Graph Algebras and k-Graph C*-algebras

Jonathan Brown·Hui Li·Dilian Yang
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Abstract

In this paper, two sufficient and necessary conditions are given. The first one characterizes when the boundary path groupoid of a topological graph without singular vertices has closed interior of its isotropy group bundle, and the second one characterizes when the path groupoid of a row-finite k-graph without sources has closed interior of its isotropy group bundle. It follows that the associated topological graph algebra and the associated k-graph C*-algebra have Cartan subalgebras due to a result of Brown-Nagy-Reznikoff-Sims-Williams.

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Jonathan Brown, Hui Li, Dilian Yang. 2016-10-17. Cartan Subalgebras of Topological Graph Algebras and k-Graph C*-algebras. https://arxiv.org/abs/1610.05268

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