Reconstruction of manifolds in noncommutative geometry

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We show that the algebra A of a commutative unital spectral triple (A,H,D) satisfying several additional conditions, slightly stronger than those proposed by Connes, is the algebra of smooth functions on a compact spin manifold.
67 pages, no figures, Latex; major changes, a new Appendix A

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Operator Algebras, High Energy Physics - Theory, 58B34

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http://salesiana.dossiersoluciones.com/handle/123456789/153990

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0610418
 http://arxiv.org/abs/math/0610418

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arXiv