2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/63536It is shown that there is a $C^*$-algebraic quantum group related to any double Lie group. An algebra underlying this quantum group is an algebra of a differential groupoid naturally associated with a double Lie group32 pages, LaTexQuantum AlgebraDifferential GeometryOperator Algebras22A22; 81R50text