@misc{10498/40292, year = {2026}, month = {9}, url = {http://hdl.handle.net/10498/40292}, abstract = {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.}, organization = {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.}, keywords = {Ample groupoids}, keywords = {inverse semigroups}, keywords = {twisted actions}, keywords = {crossed products}, title = {Global and local triviality for extensions of ample groupoids: an algebraic approach}, author = {Brownlowe, Nathan and Clark, Lisa Orloff and Pardo Espino, Enrique and Sims, Aidan}, }