@misc{10498/25630,
year = {2021},
month = {10},
url = {http://hdl.handle.net/10498/25630},
abstract = {We study groupoid actions on left cancellative small categories and their associated Zappa-Szép products. We show that certain left cancellative small categories with nice length functions can be seen as Zappa-Szép 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.},
organization = {The second-named author was partially supported by PAI III grant FQM-298 of the Junta de Andalucía, by the European Union under the 2014-2020 ERDF Operational Programme and by the Department of Economy, Knowledge, Business and University of the Junta de Andalucía, jointly, through grant FEDER-UCA18-107643, and by the DGI-MINECO and European Regional Development Fund, jointly, through grants MTM2017-83487-P and PID2020-113047GB-I00.},
keywords = {Left cancellative small category},
keywords = {groupoid partial action},
keywords = {self-similar action},
keywords = {Zappa-Szép product},
title = {Zappa-Szép Products for Partial Actions of Groupoids on Left Cancellative Small Categories},
author = {Ortega, Eduardo and Pardo Espino, Enrique},
}