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Reconstruction of manifolds in noncommutative geometry

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Authors

Rennie, Adam
Várilly Boyle, Joseph C.

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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.

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geometría no conmutativa, variedades diferenciales, operadores de Dirac, estructuras espín-c

Citation

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

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