Uniformization of nonlocal elliptic operators and KK-theory
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By a pseudodifferential uniformization of a nonlocal elliptic operator we mean the procedure of reducing the operator to a pseudodifferential operator with a controlled modification of the index. In the paper, we suggest an approach to solving the uniformization problem; this approach uses the reduction of the symbol of a nonlocal operator to the symbol of a pseudodifferential operator. The technical apparatus here is Kasparov’s KK-theory.
KeywordsCompact Operator Elliptic Operator Short Exact Sequence Cotangent Bundle Fredholm Property
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