A descent principle for the Dirac-dual-Dirac method |
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| Authors: | Heath Emerson |
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| Affiliation: | a Department of Mathematics and Statistics, University of Victoria, PO BOX 3045 STN CSC, Victoria, B.C., Canada, V8W 3P4
b Mathematisches Institut, Georg-August-Universität Göttingen, Bunsenstraße 3-5, 37073 Göttingen, Deutschland |
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| Abstract: | Let G be a torsion-free discrete group with a finite-dimensional classifying space BG. We show that G 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. |
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| Keywords: | Coarse geometry Novikov conjecture Higson corona Assembly map Rips complex |
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