On the Duality between l^1-Homology and Bounded Cohomology

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dc.creatorBuehler, Theo
dc.date2008-03-05
dc.date2008-03-06
dc.date.accessioned2026-07-07T09:24:56Z
dc.date.available2026-07-07T09:24:56Z
dc.descriptionWe modify the definition of l^1-homology and argue why our definition is more adequate than the classical one. While we cannot reconstruct the classical l^1-homology from the new definition for various reasons, we can reconstruct its Hausdorffification so that no information concerning semi-norms is lost. We obtain an axiomatic characterization of our l^1-homology as a universal delta-functor and prove that it is pre-dual to our definition of bounded cohomology. We thus answer a question raised by Loeh in her thesis. Moreover, we prove Gromov's theorem and the Matsumoto-Morita conjecture in our context.
dc.descriptionuses xypic diagrams, minor typos fixed
dc.identifierhttps://arxiv.org/abs/0803.0680
dc.identifierhttp://arxiv.org/abs/0803.0680
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/156242
dc.subjectK-Theory and Homology
dc.subjectFunctional Analysis
dc.subjectGroup Theory
dc.subject18E30 (Primary); 18E10, 18G60, 46M18, 20J05, 57T (Secondary)
dc.titleOn the Duality between l^1-Homology and Bounded Cohomology
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