Dixmier traces on noncompact isospectral deformations

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dc.creatorGayral, Victor
dc.creatorIochum, Bruno
dc.creatorVarilly, Joseph C.
dc.date2005-07-21
dc.date2006-04-06
dc.date.accessioned2026-07-07T06:42:09Z
dc.date.available2026-07-07T06:42:09Z
dc.descriptionWe extend the isospectral deformations of Connes, Landi and Dubois-Violette to the case of Riemannian spin manifolds carrying a proper action of the noncompact abelian group $R^l$. Under deformation by a torus action, a standard formula relates Dixmier traces of measurable operators to integrals of functions on the manifold. We show that this relation persists for actions of $R^l$, under mild restrictions on the geometry of the manifold which guarantee the Dixmier traceability of those operators.
dc.description30 pages, no figures; several minor improvements, to appear in J. Funct. Anal
dc.identifierhttps://arxiv.org/abs/hep-th/0507206
dc.identifierhttp://arxiv.org/abs/hep-th/0507206
dc.identifierJ.Funct.Anal. 237 (2006) 507-539
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/101936
dc.subjectHigh Energy Physics - Theory
dc.subjectOperator Algebras
dc.titleDixmier traces on noncompact isospectral deformations
dc.typetext

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