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Mathematics of the USSR-Izvestiya, 1980, Volume 15, Issue 1, Pages 87–112
DOI: https://doi.org/10.1070/IM1980v015n01ABEH001207 (Mi im1733) 		 
This article is cited in 128 scientific papers (total in 129 papers)

The index of elliptic operators over $C^*$-algebras

A. S. Mishchenko, A. T. Fomenko
English version PDF (1187 kB) Citations (129) Russian version article
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DOI: https://doi.org/10.1070/IM1980v015n01ABEH001207
Abstract: In this paper natural generalizations are developed of the theory of elliptic operators invariant under the action of a $C^*$-algebra. The theory of compact and Fredholm operators acting in spaces of the type of a Hilbert space over a $C^*$-algebra is developed. A formula of the Atiyah–Singer type for elliptic operators over a $C^*$-algebra is developed.
Bibliography: 16 titles.
Received: 30.06.1978
Bibliographic databases:
Document Type: Article
UDC: 513.6
MSC: Primary 58G12, 58G35; Secondary 46L05, 47A53, 47B05, 58G15
Language: English
Original paper language: Russian
Citation: A. S. Mishchenko, A. T. Fomenko, “The index of elliptic operators over $C^*$-algebras”, Math. USSR-Izv., 15:1 (1980), 87–112
Citation in format AMSBIB
\Bibitem{MisFom79}
\by A.~S.~Mishchenko, A.~T.~Fomenko
\paper The index of elliptic operators over $C^*$-algebras
\jour Math. USSR-Izv.
\yr 1980
\vol 15
\issue 1
\pages 87--112
\mathnet{http://mi.mathnet.ru//eng/im1733}
\crossref{https://doi.org/10.1070/IM1980v015n01ABEH001207}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=548506}
\zmath{https://zbmath.org/?q=an:0448.46039|0416.46052}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1980LB83500004}
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  • https://www.mathnet.ru/eng/im/v43/i4/p831
    • This publication is cited in the following 129 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
     
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