2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/67438For two covariant differential *-calculi, the twisted cyclic cocycle associated with the volume form is represented in terms of commutators [F,ρ(x)] for some self-adjoint operator F and some *-representation $ρ$ of the underlying *-algebra.12 pagesQuantum AlgebraFunctional Analysis17B37; 46L87; 81R50text