Zappa-Sz\'ep products for partial actions of groupoids on Left Cancellative Small Categories
Operator Algebras
2021-10-13 v1 Rings and Algebras
Abstract
We study groupoid actions on left cancellative small categories and their associated Zappa-Sz\'ep products. We show that certain left cancellative small categories with nice length functions can be seen as Zappa-Sz\'ep products. We compute the associated tight groupoids, characterizing important properties of them, like being Hausdorff, effective and minimal. Finally, we determine amenability of the tight groupoid under mild, reasonable hypotheses.
Keywords
Cite
@article{arxiv.2110.05872,
title = {Zappa-Sz\'ep products for partial actions of groupoids on Left Cancellative Small Categories},
author = {Eduard Ortega and Enrique Pardo},
journal= {arXiv preprint arXiv:2110.05872},
year = {2021}
}
Comments
Comments are welcome