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This article is cited in 3 scientific papers (total in 3 papers)
On the index of noncommutative elliptic operators over $C^*$-algebras
A. Yu. Savinab, B. Yu. Sterninab a Peoples Friendship University of Russia
b Leibniz University of Hannover
Abstract:
We consider noncommutative elliptic operators over $C^*$-algebras, associated with a discrete group of isometries of a manifold. The main result of the paper is a formula expressing the Chern characters of the index (Connes invariants) in topological terms. As a corollary to this formula a simple proof of higher index formulae for noncommutative elliptic operators is obtained.
Bibliography: 36 titles.
Keywords:
noncommutative elliptic operators, operators over $C^*$-algebras, index formulas, crossed product.
Received: 07.02.2009 and 15.04.2009
Citation:
A. Yu. Savin, B. Yu. Sternin, “On the index of noncommutative elliptic operators over $C^*$-algebras”, Mat. Sb., 201:3 (2010), 63–106; Sb. Math., 201:3 (2010), 377–417
Linking options:
https://www.mathnet.ru/eng/sm7537https://doi.org/10.1070/SM2010v201n03ABEH004077 https://www.mathnet.ru/eng/sm/v201/i3/p63
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Abstract page: | 627 | Russian version PDF: | 228 | English version PDF: | 14 | References: | 60 | First page: | 5 |
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