Elliptic Theory on Manifolds with Corners: I. Dual Manifolds and Pseudodifferential Operators

Details Elliptic Theory on Manifolds with Corners: I. Dual Manifolds and Pseudodifferential Operators Elliptic Theory on Manifolds with Corners: I. Dual Manifolds and Pseudodifferential Operators

2006-08-14

arxiv.org/abs/math/0608353v1

Mathematics

Operator Algebras

21 pages, 2 figures. Submitted to the proceedings of the Conference "C*-algebras and elliptic theory. II" (Banach Center, Bedl

Scientific paper

In this first part of the paper, we define a natural dual object for manifolds with corners and show how pseudodifferential calculus on such manifolds can be constructed in terms of the localization principle in C*-algebras. In the second part, these results will be applied to the solution of Gelfand's problem on the homotopy classification of elliptic operators for the case of manifolds with corners.

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