2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/152425In this paper, we will give a natural definition for morphisms between multiplicative unitaries. We will then discuss some equivalences of this definition and some interesting properties of them. Moreover, we will define normal sub-multiplicative unitaries for multiplicative unitaries of discrete type and prove an imprimitivity type theorem for discrete multiplicative unitaries.21 pages, Latex; to appear in the Journal of Operator TheoryFunctional AnalysisOperator AlgebrasQuantum Algebratext