Reconstruction of manifolds in noncommutative geometry
Operator Algebras
2008-02-04 v4 High Energy Physics - Theory
Abstract
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.
Keywords
Cite
@article{arxiv.math/0610418,
title = {Reconstruction of manifolds in noncommutative geometry},
author = {Adam Rennie and Joseph C. Varilly},
journal= {arXiv preprint arXiv:math/0610418},
year = {2008}
}
Comments
67 pages, no figures, Latex; major changes, a new Appendix A