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BRANCHING SYSTEMS FOR HIGHER-RANK GRAPH C*-ALGEBRAS
Published online by Cambridge University Press: 12 March 2018
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.
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- Research Article
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- Copyright © Glasgow Mathematical Journal Trust 2018
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