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arXiv · 1412.3558

Faithful representations of graph algebras via branching systems

Daniel Gonçalves·Hui Li·Danilo Royer
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Abstract

We continue to investigate branching systems of directed graphs and their connections with graph algebras. We give a sufficient condition under which the representation induced from a branching system of a directed graph is faithful and construct a large class of branching systems that satisfy this condition. We finish the paper by providing a proof of the converse of the Cuntz-Krieger uniqueness theorem for graph algebras by means of branching systems.

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Daniel Gonçalves, Hui Li, Danilo Royer. 2014-12-11. Faithful representations of graph algebras via branching systems. https://doi.org/10.4153/cmb-2015-032-x

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