Bivariant Chern character and the longitudinal index theory

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dc.creatorGorokhovsky, Alexander
dc.date2005-04-06
dc.date.accessioned2026-07-07T05:18:49Z
dc.date.available2026-07-07T05:18:49Z
dc.descriptionIn this paper we consider a family of Dirac-type operators on fibration $P \to B$ equivariant with respect to an action of an etale groupoid. Such a family defines an element in the bivariant $K$ theory. We compute the action of the bivariant Chern character of this element on the image of Connes' map $Φ$ in the cyclic cohomology. A particular case of this result is Connes' index theorem for etale groupoids in the case of fibrations.
dc.identifierhttps://arxiv.org/abs/math/0504092
dc.identifierhttp://arxiv.org/abs/math/0504092
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74801
dc.subjectDifferential Geometry
dc.subjectOperator Algebras
dc.titleBivariant Chern character and the longitudinal index theory
dc.typetext

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