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arXiv · 1807.01686

$C^*$-algebras of self-similar graphs over arbitrary graphs

Ruy Exel·Enrique Pardo·Charles Starling
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Abstract

In this note we extend the construction of a $C^*$-algebra associated to a self-similar graph to the case of arbitrary countable graphs. We reduce the problem to the row-finite case with no sources, by using a desingularization process. Finally, we characterize simplicity in this case.

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Ruy Exel, Enrique Pardo, Charles Starling. 2018-07-04. $C^*$-algebras of self-similar graphs over arbitrary graphs. https://arxiv.org/abs/1807.01686

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