artículo científico
Dixmier traces on noncompact isospectral deformations
Fecha
2006Registro en:
1096-0783
10.1016/j.jfa.2006.02.010
Autor
Gayral, Victor
Iochum, Bruno
Várilly Boyle, Joseph C.
Institución
Resumen
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.