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arXiv · 1307.5801

When universal edge-colored directed graph $C^*$-algebras are exact

Benton Duncan
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Abstract

We consider when the universal $C^*$-algebras associated to edge-colored directed graphs are exact. Specifically, for countable edge-colored directed graphs we show that the universal $C^*$-algebra is exact if and only if the $C^*$-algebra is isomorphic to a graph $C^*$-algebra which occurs precisely when the universal and reduced $C^*$-algebras of the edge-colored directed graph are isomorphic.

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Benton Duncan. 2013-07-22. When universal edge-colored directed graph $C^*$-algebras are exact. https://arxiv.org/abs/1307.5801

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