2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/73052We construct cup products of two different kinds for Hopf-cyclic cohomology. When the Hopf algebra reduces to the ground field our first cup product reduces to Connes' cup product in ordinary cyclic cohomology. The second cup product generalizes Connes-Moscovici's characteristic map for actions of Hopf algebras on algebras.7 pages. To appear in C. R. Acad. Sci. ParisQuantum AlgebraK-Theory and Homology58B34; 46L80text