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Sbornik: Mathematics, 2010, Volume 201, Issue 3, Pages 377–417
DOI: https://doi.org/10.1070/SM2010v201n03ABEH004077
(Mi sm7537)
 

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
References:
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
Russian version:
Matematicheskii Sbornik, 2010, Volume 201, Number 3, Pages 63–106
DOI: https://doi.org/10.4213/sm7537
Bibliographic databases:
UDC: 515.168.5+517.956.22
MSC: 19K56, 46L80, 58Jxx
Language: English
Original paper language: Russian
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
Citation in format AMSBIB
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\by A.~Yu.~Savin, B.~Yu.~Sternin
\paper On the index of noncommutative elliptic operators over $C^*$-algebras
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\transl
\jour Sb. Math.
\yr 2010
\vol 201
\issue 3
\pages 377--417
\crossref{https://doi.org/10.1070/SM2010v201n03ABEH004077}
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Linking options:
  • https://www.mathnet.ru/eng/sm7537
  • https://doi.org/10.1070/SM2010v201n03ABEH004077
  • https://www.mathnet.ru/eng/sm/v201/i3/p63
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник Sbornik: Mathematics
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    Abstract page:627
    Russian version PDF:228
    English version PDF:14
    References:60
    First page:5
     
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