Geodesic
BRANCHING SYSTEMS FOR HIGHER-RANK GRAPH C*-ALGEBRAS
Glasgow mathematical journal, Tome 60 (2018) no. 3, pp. 731-751

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DOI

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. 
GONÇALVES, DANIEL; LI, HUI; ROYER, DANILO. BRANCHING SYSTEMS FOR HIGHER-RANK GRAPH C*-ALGEBRAS. Glasgow mathematical journal, Tome 60 (2018) no. 3, pp. 731-751. doi: 10.1017/S0017089518000058
@article{10_1017_S0017089518000058,
     author = {GON\c{C}ALVES, DANIEL and LI, HUI and ROYER, DANILO},
     title = {BRANCHING {SYSTEMS} {FOR} {HIGHER-RANK} {GRAPH} {C*-ALGEBRAS}},
     journal = {Glasgow mathematical journal},
     pages = {731--751},
     year = {2018},
     volume = {60},
     number = {3},
     doi = {10.1017/S0017089518000058},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089518000058/}
}
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