Reconstruction of manifolds in noncommutative geometry
classification
🧮 math.OA
hep-th
keywords
algebraadditionalcommutativecompactconditionsconnesfunctionsgeometry
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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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