A generalization of higher rank graphs

M. V. Lawson; A. Vdovina

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arXiv · 2104.09421

A generalization of higher rank graphs

M. V. Lawson·A. Vdovina

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Abstract

We introduce what we call `generalized higher rank $k$-graphs' as a class of categories equipped with a notion of size. They extend not only the 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 generalized higher rank $k$-graphs can be constructed using Zappa-Sz\'ep products of groupoids and higher rank graphs.

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M. V. Lawson, A. Vdovina. 2021-04-19. A generalization of higher rank graphs. https://arxiv.org/abs/2104.09421

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