2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/209646We show that all pairings defined in the literature extending Connes-Moscovici characteristic map in Hopf-cyclic cohomology are isomorphic as natural transformations of derived double functors.16 pages; Section 3 is re-writtenK-Theory and Homologytext