RT open access
T1 Zappa-Szép Products for Partial Actions of Groupoids on Left Cancellative Small Categories
A1 Ortega, Eduardo
A1 Pardo Espino, Enrique
A2 Matemáticas
K1 Left cancellative small category
K1 groupoid partial action
K1 self-similar action
K1 Zappa-Szép product
AB 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.
YR 2021
FD 2021-10-12
LK http://hdl.handle.net/10498/25630
UL http://hdl.handle.net/10498/25630
LA eng
NO 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.
DS Repositorio Institucional de la Universidad de Cádiz
RD 22-sep-2026