K-homology classes of elliptic uniform pseudodifferential operators
classification
🧮 math.DG
math.KT
keywords
uniformclasselliptick-homologyoperatorpseudodifferentialboundedclasses
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We show that an elliptic uniform pseudodifferential operator over a manifold of bounded geometry defines a class in uniform K-homology, and that this class only depends on the principal symbol of the operator.
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