A graph C*-algebra is residually finite dimensional if and only if the graph has no infinite receiver, no cycle with an exit, no infinite backward chain, and every vertex reaches a sink, cycle, or infinite emitter.
The path space of a directed graph.Proceedings of the American Mathemat- ical Society, 142(1):213–225, 2014
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The RFD property for graph $C^*$-algebras
A graph C*-algebra is residually finite dimensional if and only if the graph has no infinite receiver, no cycle with an exit, no infinite backward chain, and every vertex reaches a sink, cycle, or infinite emitter.