Reconstruction of manifolds in noncommutative geometry
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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