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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 127 scientific papers (total in 128 papers)

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

A. S. Mishchenko, A. T. Fomenko
English version PDF (1187 kB) Citations (128)
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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
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1979, Volume 43, Issue 4, Pages 831–859
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”, Izv. Akad. Nauk SSSR Ser. Mat., 43:4 (1979), 831–859; Math. USSR-Izv., 15:1 (1980), 87–112
Citation in format AMSBIB
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\by A.~S.~Mishchenko, A.~T.~Fomenko
\paper The index of elliptic operators over $C^*$-algebras
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1979
\vol 43
\issue 4
\pages 831--859
\mathnet{http://mi.mathnet.ru/im1733}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=548506}
\zmath{https://zbmath.org/?q=an:0448.46039|0416.46052}
\transl
\jour Math. USSR-Izv.
\yr 1980
\vol 15
\issue 1
\pages 87--112
\crossref{https://doi.org/10.1070/IM1980v015n01ABEH001207}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1980LB83500004}
Linking options:
  • https://www.mathnet.ru/eng/im1733
  • https://doi.org/10.1070/IM1980v015n01ABEH001207
  • https://www.mathnet.ru/eng/im/v43/i4/p831
    • This publication is cited in the following 128 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:6623
    Russian version PDF:675
    English version PDF:83
    References:117
    First page:4
     
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