Decomposition theorems for unital graph C*-algebras
Operator Algebras
2026-03-05 v2
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).
Keywords
Cite
@article{arxiv.2505.12769,
title = {Decomposition theorems for unital graph C*-algebras},
author = {Guillaume Bellier and Tatiana Shulman},
journal= {arXiv preprint arXiv:2505.12769},
year = {2026}
}
Comments
We added a new section where we give a complete characterization of when a unital graph C*-algebra is matricially semiprojective. Also our previous result on RFD property is now proved for all unital graph C*-algebras