The RFD property for graph C*-algebras

Published 19 May 2025 in math.OA | (2505.12769v1)

Abstract: It is proved that the graph C*-algebra of a finite graph is residually finite-dimensional (RFD) if and only if no cycle has an entry. To obtain this result we prove that C*-algebras of graphs with finitely many vertices often admit a convenient decomposition into amalgamated free products.

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