Noncommutative elliptic theory. Examples
Operator Algebras
2011-06-22 v1 Analysis of PDEs
Differential Geometry
K-Theory and Homology
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.
Cite
@article{arxiv.0906.3700,
title = {Noncommutative elliptic theory. Examples},
author = {A. Yu. Savin and B. Yu. Sternin},
journal= {arXiv preprint arXiv:0906.3700},
year = {2011}
}
Comments
23 pages, 1 figure