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A GENERALISATION OF HIGHER-RANK GRAPHS
Published online by Cambridge University Press: 26 July 2021
Abstract
We introduce ‘generalised higher-rank k-graphs’ as a class of categories equipped with a notion of size. They extend not only higher-rank k-graphs, but also the Levi categories introduced by the first author as a categorical setting for graphs of groups. We prove that examples of generalised higher-rank k-graphs can be constructed using Zappa–Szép products of groupoids and higher-rank graphs.
MSC classification
Secondary:
46L05: General theory of $C^*$-algebras
- Type
- Research Article
- Information
- Copyright
- © 2021 Australian Mathematical Publishing Association Inc.
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