2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/78510The construction of a C*-algebra of a differential groupoid is presented. It is shown that it defines a covariant functor from the category of differential groupoids in a sense of S. Zakrzewski to the category of C*-algebras.41 pages, LaTex2e, 11 figures, use graphicx, psfrag, placeins, amssymbo, "supported by..." statement added, "fatal error" in Aknewledgment corrected, no other changes madeQuantum AlgebraDifferential GeometryOperator Algebras22A22 (Primary) 46L89 (Secondary)Differential groupoids and $C^*$-algebrastext