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Guillaume Bellier

Publications and source records attributed to Guillaume Bellier.

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Decomposition theorems for unital graph C*-algebras

We prove that unital graph C*-algebras often admit a convenient decomposition into amalgamated free products. We use this to give a complete characterization of when a unital graph C*-algebra is residually finite-dimensional and when it is operator norm stable (that is, matricially semiprojective).

math.OA

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

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.

math.OA