Dixmier traces on noncompact isospectral deformations
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| Auteurs: | , , |
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| Format: | artículo original |
| Date de publication: | 2006 |
| Description: | 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. |
| Pays: | Kérwá |
| Institution: | Universidad de Costa Rica |
| Repositorio: | Kérwá |
| Langue: | Inglés |
| OAI Identifier: | oai:kerwa.ucr.ac.cr:10669/89158 |
| Accès en ligne: | https://www.sciencedirect.com/science/article/pii/S002212360600067X https://hdl.handle.net/10669/89158 |
| Mots-clés: | MATHEMATICS GEOMETRY |