Dixmier traces on noncompact isospectral deformations
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| Авторы: | , , |
|---|---|
| Формат: | artículo original |
| Дата публикации: | 2006 |
| Описание: | 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. |
| Страна: | Kérwá |
| Институт: | Universidad de Costa Rica |
| Repositorio: | Kérwá |
| Язык: | Inglés |
| OAI Identifier: | oai:kerwa.ucr.ac.cr:10669/89158 |
| Online-ссылка: | https://www.sciencedirect.com/science/article/pii/S002212360600067X https://hdl.handle.net/10669/89158 |
| Ключевое слово: | MATHEMATICS GEOMETRY |