2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/127758We introduce and investigate using Hilbert modules the properties of the {\em 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.Operator AlgebrasFunctional Analysis43A32text