Noncommutative elliptic theory. Examples

Details Noncommutative elliptic theory. Examples Noncommutative elliptic theory. Examples

2009-06-19

arxiv.org/abs/0906.3700v1

Proc. Steklov Inst. Math., 271 (2010), 193-211

Mathematics

Operator Algebras

23 pages, 1 figure

Scientific paper

10.1134/S0081543810040152

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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