Answer by Francesco Polizzi for How are coordinate charts constructed in...
This is proved inA. Rennie, J. C. Várilly: Reconstruction of manifolds in noncommutative geometryfor a special class of triples that the Authors call "spectral manifolds", see Definition 5.1.For such a...
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In noncommutative geometry, one is given a triple $(A,D,H)$, where $A$ is a commutative C* algebra, $H$ is a Hilbert space, and $D$ is an operator. There is a somewhat long list of conditions that this...
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