Noncommutative elliptic theory. Examples

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. © 2010 Pleiades Publishing, Ltd.

Авторы
Savin A.Y. 1, 2 , Sternin B.Y. 1, 2
Номер выпуска
1
Язык
Английский
Страницы
193-211
Статус
Опубликовано
Том
271
Год
2010
Организации
  • 1 Peoples' Friendship University of Russia, ul. Muklukho-Maklaya 6, Moscow 117198, Russian Federation
  • 2 Leibniz Universität Hannover, Welfengarten 1, D-30167 Hannover, Germany
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/2665/
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D'Apice C., Galaktionova O., Khokhlov Y., Pagano M.
2010 International Congress on Ultra Modern Telecommunications and Control Systems and Workshops, ICUMT 2010. 2010. С. 1137-1140