Globalization of partial inverse semigroupoid actions on sets
Operator Algebras
2024-05-01 v2 Category Theory
Dynamical Systems
Rings and Algebras
Abstract
We prove that every partial action of an inverse semigroupoid on a set admits a universal globalization. Moreover, we show that our construction gives a reflector from the category of partial actions on the full subcategory of global actions. Finally, we investigate if the mediating function given by the universal property of our construction is injective.
Cite
@article{arxiv.2310.08693,
title = {Globalization of partial inverse semigroupoid actions on sets},
author = {Paulinho Demeneghi and Felipe Augusto Tasca},
journal= {arXiv preprint arXiv:2310.08693},
year = {2024}
}
Comments
19 pages, 1 figure, 3 diagrams and 1 table