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arXiv:math/0610418 [math.OA]AbstractReferencesReviewsResources

Reconstruction of manifolds in noncommutative geometry

Adam Rennie, Joseph C. Varilly

Published 2006-10-12, updated 2008-02-04Version 4

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.

Comments: 67 pages, no figures, Latex; major changes, a new Appendix A
Categories: math.OA, hep-th
Subjects: 58B34
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