Dixmier traces on noncompact isospectral deformations

dc.creator	Gayral, Victor
dc.creator	Iochum, Bruno
dc.creator	Várilly Boyle, Joseph C.
dc.date.accessioned	2023-04-27T19:39:01Z
dc.date.available	2023-04-27T19:39:01Z
dc.date.issued	2006
dc.description.abstract	We 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.	es_ES
dc.description.procedence	UCR::Vicerrectoría de Docencia::Ciencias Básicas::Facultad de Ciencias::Escuela de Matemática	es_ES
dc.identifier.citation	https://www.sciencedirect.com/science/article/pii/S002212360600067X	es_ES
dc.identifier.doi	10.1016/j.jfa.2006.02.010
dc.identifier.issn	1096-0783
dc.identifier.uri	https://hdl.handle.net/10669/89158
dc.language.iso	eng	es_ES
dc.rights	acceso abierto
dc.source	Journal of Functional Analysis, vol.237 (2), pp.507-539.	es_ES
dc.subject	MATHEMATICS	es_ES
dc.subject	GEOMETRY	es_ES
dc.title	Dixmier traces on noncompact isospectral deformations	es_ES
dc.type	artículo original	es_ES

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