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arXiv · 2604.06993

The RFD property for graph $C^*$-algebras

Guillaume Bellier
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Abstract

It is proved that the C*-algebra of a graph is residually finite dimensional (RFD) if and only if the graph has no infinite receiver, no cycle with an exit, no infinite ackward chain and from each vertex, there is a finite path to a sink or a cycle or an infinite emitter.

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Guillaume Bellier. 2026-04-08. The RFD property for graph $C^*$-algebras. https://arxiv.org/abs/2604.06993

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