Branching Systems for Higher-Rank Graph C*-algebras
Operator Algebras
2017-03-17 v1
Abstract
We define branching systems for finitely aligned higher-rank graphs. From these we construct concrete representations of higher-rank graph C*-algebras on Hilbert spaces. We prove a generalized Cuntz-Krieger uniqueness theorem for periodic single-vertex 2-graphs. We use this result to give a sufficient condition under which representations of periodic single-vertex 2-graph C*-algebras arising from branching systems are faithful.
Keywords
Cite
@article{arxiv.1703.05431,
title = {Branching Systems for Higher-Rank Graph C*-algebras},
author = {Daniel Gonçalves and Hui Li and Danilo Royer},
journal= {arXiv preprint arXiv:1703.05431},
year = {2017}
}