RT journal article T1 Global and local triviality for extensions of ample groupoids: an algebraic approach A1 Brownlowe, Nathan A1 Clark, Lisa Orloff A1 Pardo Espino, Enrique A1 Sims, Aidan A2 Matemáticas K1 Ample groupoids K1 inverse semigroups K1 twisted actions K1 crossed products AB Using the Steinberg duality between the categories of inverse semigroups and ample groupoids, we prove the triviality (global and local) of the central term of the extension in terms of twisted crossed products. YR 2026 FD 2026-09-29 LK http://hdl.handle.net/10498/40292 UL http://hdl.handle.net/10498/40292 LA eng NO The first-named author was partially supported by Australian Research Council Discovery Project DP250100297. The second-named author was partially supported by the Marsden Fund of the Royal Society of New Zealand (grant number 21-VUW-156). The third-named author was partially supported by the Spanish State Research Agency (grant numbers PID2020-113047GB-I00 and PID2023-147110NB-I00), by PAIDI grants FQM-298 and ProyExcel 00780 “Operator Theory: an interdisciplinary approach” (2021), of the Junta de Andalucía. The fourth-named author was partially supported by Australian Research Council Discovery Projects DP220101631 and DP250100297. DS Repositorio Institucional de la Universidad de Cádiz RD 06-nov-2026