On the spectral characterization of manifolds

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dc.creatorConnes, Alain
dc.date2008-10-12
dc.date.accessioned2026-07-07T10:09:31Z
dc.date.available2026-07-07T10:09:31Z
dc.descriptionWe show that the first five of the axioms we had formulated on spectral triples suffice (in a slightly stronger form) to characterize the spectral triples associated to smooth compact manifolds. The algebra, which is assumed to be commutative, is shown to be isomorphic to the algebra of all smooth functions on a unique smooth oriented compact manifold, while the operator is shown to be of Dirac type and the metric to be Riemannian.
dc.description66 pages, 1 Figure
dc.identifierhttps://arxiv.org/abs/0810.2088
dc.identifierhttp://arxiv.org/abs/0810.2088
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/171344
dc.subjectOperator Algebras
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Algebra
dc.subject46L87; 58B34
dc.titleOn the spectral characterization of manifolds
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