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Sbornik: Mathematics, 2008, Volume 199, Issue 11, Pages 1621–1648
DOI: https://doi.org/10.1070/SM2008v199n11ABEH003975 (Mi sm3963) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Reversible extensions of irreversible dynamical systems: the $C^*$-method

B. K. Kwaśniewskia, A. V. Lebedevba

a Institute of Mathematics, University of Bialystok
b Belarusian State University
English version PDF (453 kB) Citations (8)
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DOI: https://doi.org/10.1070/SM2008v199n11ABEH003975
Abstract: A construction of a reversible extension of irreversible dynamical systems is presented. It is based on calculating the maximal ideal spaces of the $C^*$-algebras generated by these systems and the corresponding reversible extensions of endomorphisms. Connections between the objects that arise and dynamical systems of Smale horseshoe and other types are revealed.
Bibliography: 20 titles.
Received: 31.10.2007
Russian version:
Matematicheskii Sbornik, 2008, Volume 199, Number 11, Pages 45–74
DOI: https://doi.org/10.4213/sm3963
Bibliographic databases:
UDC: 517.986.24+517.986.225
MSC: Primary 47L30, 54H20; Secondary 37E99
Language: English
Original paper language: Russian
Citation: B. K. Kwaśniewski, A. V. Lebedev, “Reversible extensions of irreversible dynamical systems: the $C^*$-method”, Mat. Sb., 199:11 (2008), 45–74; Sb. Math., 199:11 (2008), 1621–1648
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/sm/v199/i11/p45
    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Abstract page:581
    Russian version PDF:190
    English version PDF:16
    References:46
    First page:5
     
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