2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/68783We introduce and investigate using Hilbert modules the properties of the Fourier algebra A(G) for a locally compact groupoid G. We establish a duality theorem for such groupoids in terms of multiplicative module maps. This includes as a special case the classical duality theorem for locally compact groups proved by P. Eymard.31 pagesOperator AlgebrasFunctional Analysis43A32The Fourier algebra for locally compact groupoidstext