# The co-universal C*-algebra of a row-finite graph

@article{Sims2008TheCC, title={The co-universal C*-algebra of a row-finite graph}, author={Aidan Sims}, journal={arXiv: Operator Algebras}, year={2008}, pages={507-524} }

Let E be a row-finite directed graph. We prove that there exists a C -algebra C min(E) with the following co-universal property: given any C -algebra B generated by a Toeplitz-Cuntz-Krieger E-family in which all the vertex projections are nonzero, there is a canonical ho- momorphism from B onto C min(E). We also identify when a homo- morphism from B to C min(E) obtained from the co-universal property is injective. When every loop in E has an entrance, C min(E) coincides with the graph C…

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