Geodesic
Noncommutative elliptic theory. Examples
Informatics and Automation, Differential equations and topology. II, Tome 271 (2010), pp. 204-223

Voir la notice de l'article provenant de la source Math-Net.Ru

We study differential operators with coefficients in noncommutative algebras. As an algebra of coefficients, we consider crossed products corresponding to the action of a discrete group on a smooth manifold. We give index formulas for the Euler, signature, and Dirac operators twisted by projections over the crossed product. The index of Connes operators on the noncommutative torus is computed. 
@article{TRSPY_2010_271_a14,
     author = {A. Yu. Savin and B. Yu. Sternin},
     title = {Noncommutative elliptic theory. {Examples}},
     journal = {Informatics and Automation},
     pages = {204--223},
     publisher = {mathdoc},
     volume = {271},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2010_271_a14/}
}
TY  - JOUR
AU  - A. Yu. Savin
AU  - B. Yu. Sternin
TI  - Noncommutative elliptic theory. Examples
JO  - Informatics and Automation
PY  - 2010
SP  - 204
EP  - 223
VL  - 271
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TRSPY_2010_271_a14/
LA  - ru
ID  - TRSPY_2010_271_a14
ER  - 
%0 Journal Article
%A A. Yu. Savin
%A B. Yu. Sternin
%T Noncommutative elliptic theory. Examples
%J Informatics and Automation
%D 2010
%P 204-223
%V 271
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TRSPY_2010_271_a14/
%G ru
%F TRSPY_2010_271_a14
A. Yu. Savin; B. Yu. Sternin. Noncommutative elliptic theory. Examples. Informatics and Automation, Differential equations and topology. II, Tome 271 (2010), pp. 204-223. http://geodesic.mathdoc.fr/item/TRSPY_2010_271_a14/