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arXiv · 2505.12769

Decomposition theorems for unital graph C*-algebras

Guillaume Bellier·Tatiana Shulman
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Abstract

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).

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Guillaume Bellier, Tatiana Shulman. 2025-05-19. Decomposition theorems for unital graph C*-algebras. https://arxiv.org/abs/2505.12769

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