A descent principle for the Dirac-dual-Dirac method

• Autores: Heath Emerson, Ralf Meyer
• Localización: Topology, ISSN 0040-9383, Vol. 46, Nº 2, 2007, págs. 185-210
• Idioma: inglés
• DOI: 10.1016/j.top.2007.02.001
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• Resumen

  • 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