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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
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
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
Linking options:
https://www.mathnet.ru/eng/sm3963https://doi.org/10.1070/SM2008v199n11ABEH003975 https://www.mathnet.ru/eng/sm/v199/i11/p45
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Abstract page: | 582 | Russian version PDF: | 190 | English version PDF: | 16 | References: | 46 | First page: | 5 |
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