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Izv. Akad. Nauk SSSR Ser. Mat., 1979, Volume 43, Issue 4, Pages 831–859 (Mi izv1733)  

This article is cited in 108 scientific papers (total in 109 papers)

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

A. S. Mishchenko, A. T. Fomenko

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.

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English version:
Mathematics of the USSR-Izvestiya, 1980, 15:1, 87–112

Bibliographic databases:

UDC: 513.6
MSC: Primary 58G12, 58G35; Secondary 46L05, 47A53, 47B05, 58G15
Received: 30.06.1978

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
\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
\jour Math. USSR-Izv.
\yr 1980
\vol 15
\issue 1
\pages 87--112

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