A generalisation of higher-rank graphs

Mark V. Lawson, Alina Vdovina

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
JournalBulletin of the Australian Mathematical Society
Early online date26 Jul 2021
DOIs
Publication statusE-pub ahead of print - 26 Jul 2021

Keywords

  • 18B40
  • 2020 Mathematics subject classification
  • 46L05

ASJC Scopus subject areas

  • Mathematics(all)

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