Resumen de A descent principle for the Dirac-dual-Dirac method

Heath Emerson, Ralf Meyer

• Let be a torsion-free discrete group with a finite-dimensional classifying space . We show that has a dual-Dirac morphism if and only if a certain coarse (co-)assembly map is an isomorphism. Hence the existence of a dual-Dirac morphism for such groups is a metric, that is, coarse, invariant. We get results for groups with torsion as well