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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2010, Volume 271, Pages 204–223 (Mi tm3241)  
This article is cited in 7 scientific papers (total in 7 papers)

Noncommutative elliptic theory. Examples

A. Yu. Savinab, B. Yu. Sterninab

a Peoples' Friendship University of Russia, Moscow, Russia
b Leibniz Universität Hannover, Hannover, Germany
Full-text PDF (288 kB) Citations (7)
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Abstract: 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.
Received in December 2009
English version:
Proceedings of the Steklov Institute of Mathematics, 2010, Volume 271, Pages 193–211
DOI: https://doi.org/10.1134/S0081543810040152
Bibliographic databases:
Document Type: Article
UDC: 515.168.5+517.956.22
Language: Russian
Citation: A. Yu. Savin, B. Yu. Sternin, “Noncommutative elliptic theory. Examples”, Differential equations and topology. II, Collected papers. In commemoration of the centenary of the birth of Academician Lev Semenovich Pontryagin, Trudy Mat. Inst. Steklova, 271, MAIK Nauka/Interperiodica, Moscow, 2010, 204–223; Proc. Steklov Inst. Math., 271 (2010), 193–211
Citation in format AMSBIB
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\paper Noncommutative elliptic theory. Examples
\inbook Differential equations and topology.~II
\bookinfo Collected papers. In commemoration of the centenary of the birth of Academician Lev Semenovich Pontryagin
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\vol 271
\pages 204--223
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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