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arXiv · 0906.3700

Noncommutative elliptic theory. Examples

A. Yu. Savin·B. Yu. Sternin
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Abstract

We study differential operators, whose coefficients define noncommutative algebras. As algebra of coefficients, we consider crossed products, corresponding to action of a discrete group on a smooth manifold. We give index formulas for Euler, signature and Dirac operators twisted by projections over the crossed product. Index of Connes operators on the noncommutative torus is computed.

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BibTeXRIS

A. Yu. Savin, B. Yu. Sternin. 2009-06-19. Noncommutative elliptic theory. Examples. https://doi.org/10.1134/s0081543810040152

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