2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/67530The aim of this paper is to put some recent results of Huang-Pandzic (conjectured by Vogan) and Kostant on Dirac cohomology in a broader perspective.This is achieved by introducing an induction functor in the noncommutative equivariant cohomology. In this context, the results of Huang-Pandzic and Kostant are interpreted as special cases (corresponding to the manifold being a point) of more general results on noncommutative equivariant cohomology introduced by Alekseev-Meinrenken.24 pages, no figuresRepresentation TheoryAlgebraic Geometry20C35; 22E50text