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Index theorems for uniformly elliptic operators
Published 6 Jun 2018 in math.DG and math.KT | (1806.02035v1)
Abstract: We generalize Roe's index theorem for graded generalized Dirac operators on amenable manifolds to multigraded elliptic uniform pseudodifferential operators. The generalization will follow from a local index theorem that is valid on any manifold of bounded geometry. This local formula incorporates the uniform estimates present in the definition of uniform pseudodifferential operators.
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