Reconstruction of manifolds in noncommutative geometry

Details Reconstruction of manifolds in noncommutative geometry Reconstruction of manifolds in noncommutative geometry

2006-10-12

arxiv.org/abs/math/0610418v4

Mathematics

Operator Algebras

67 pages, no figures, Latex; major changes, a new Appendix A

Scientific paper

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.

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