Faithful representations of graph algebras via branching systems
Operator Algebras
2019-08-15 v1
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.
Keywords
Cite
@article{arxiv.1412.3558,
title = {Faithful representations of graph algebras via branching systems},
author = {Daniel Gonçalves and Hui Li and Danilo Royer},
journal= {arXiv preprint arXiv:1412.3558},
year = {2019}
}