On the index of nonlocal elliptic operators for compact Lie groups

We consider a class of nonlocal operators associated with a compact Lie group G acting on a smooth manifold. A notion of symbol of such operators is introduced and an index formula for elliptic elements is obtained. The symbol in this situation is an element of a noncommutative algebra (crossed product by G) and to obtain an index formula, we define the Chern character for this algebra in the framework of noncommutative geometry. © 2011 Versita Warsaw and Springer-Verlag Wien.

Авторы
Savin A.Y. 1, 2
Номер выпуска
4
Язык
Английский
Страницы
833-850
Статус
Опубликовано
Том
9
Год
2011
Организации
  • 1 Faculty of Science, Peoples Friendship University of Russia, Moscow, Russian Federation
  • 2 Institute of Analysis, Leibniz University of Hannover, Hannover, Germany
Ключевые слова
Basic cohomology; Chern character; Crossed product; Index formula; Nonlocal operator; Transverse ellipticity
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/2521/