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Uniformization of nonlocal elliptic operators and KK-theory

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Abstract

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.

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Authors and Affiliations

  1. Peoples’ Friendship University of Russia, Miklukho-Maklaya Str. 6, Moscow, 117198, Russia

    A. Yu. Savin & B. Yu. Sternin

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  1. A. Yu. Savin
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  2. B. Yu. Sternin
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Savin, A.Y., Sternin, B.Y. Uniformization of nonlocal elliptic operators and KK-theory. Russ. J. Math. Phys. 20, 345–359 (2013). https://doi.org/10.1134/S1061920813030096

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  • DOI: https://doi.org/10.1134/S1061920813030096

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