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Zapiski Nauchnykh Seminarov POMI, 2015, Volume 437, Pages 131–144 (Mi znsl6176)  
This article is cited in 5 scientific papers (total in 5 papers)

On a class of operator algebras generated by a family of partial isometries

A. Yu. Kuznetsova

Institute of Physics, Kazan (Volga region) Federal University, Kazan, Russia
Full-text PDF (237 kB) Citations (5)
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Abstract: The paper provides a short overview of a series of articles devoted to the $C^*$-algebra generated by a self-mapping on a countable set. Such an algebra can be seen as a representation of the universal $C^*$-algebra generated by the family of partial isometries satisfying a set of conditions. These conditions are determined by the initial mapping.
Key words and phrases: $C^* $-algebra, partial isometry, covariant system, graded $C^*$-algebra.
Received: 10.10.2015
English version:
Journal of Mathematical Sciences (New York), 2016, Volume 216, Issue 1, Pages 84–93
DOI: https://doi.org/10.1007/s10958-016-2889-8
Bibliographic databases:
Document Type: Article
UDC: 517.98
Language: Russian
Citation: A. Yu. Kuznetsova, “On a class of operator algebras generated by a family of partial isometries”, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part XXVI. Representation theory, dynamical systems, combinatorial methods, Zap. Nauchn. Sem. POMI, 437, POMI, St. Petersburg, 2015, 131–144; J. Math. Sci. (N. Y.), 216:1 (2016), 84–93
Citation in format AMSBIB
\Bibitem{Kuz15}
\by A.~Yu.~Kuznetsova
\paper On a~class of operator algebras generated by a~family of partial isometries
\inbook Representation theory, dynamical systems, combinatorial and algoritmic methods. Part~XXVI. Representation theory, dynamical systems, combinatorial methods
\serial Zap. Nauchn. Sem. POMI
\yr 2015
\vol 437
\pages 131--144
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6176}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3499911}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2016
\vol 216
\issue 1
\pages 84--93
\crossref{https://doi.org/10.1007/s10958-016-2889-8}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84969849502}
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  • https://www.mathnet.ru/eng/znsl/v437/p131
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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