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Mat. Sb., 2004, Volume 195, Number 7, Pages 37–70 (Mi msb834)  

This article is cited in 13 scientific papers (total in 13 papers)

Extensions of $C^*$-algebras by partial isometries

A. V. Lebedeva, A. Odzijewiczb

a Belarusian State University
b University of Bialystok

Abstract: The structure of the $C^*$-algebra generated by a $*$-algebra $\mathscr A$ and a partial isometry inducing an endomorphism of $\mathscr A$ is investigated.

DOI: 10.4213/sm834

Full text (in Russian): PDF file (398 kB)
References (in Russian): PDF file   HTML файл

English version:
Sbornik: Mathematics, 2004, 195:7, 951–982

Bibliographic databases:

UDC: 517.9
MSC: 46L35, 47L30
Received: 17.07.2003 and 21.01.2004

Citation: A. V. Lebedev, A. Odzijewicz, “Extensions of $C^*$-algebras by partial isometries”, Mat. Sb., 195:7 (2004), 37–70

Citation in format AMSBIB
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\by A.~V.~Lebedev, A.~Odzijewicz
\paper Extensions of $C^*$-algebras by partial isometries
\jour Mat. Sb.
\yr 2004
\vol 195
\issue 7
\pages 37--70
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\transl
\jour Sb. Math.
\yr 2004
\vol 195
\issue 7
\pages 951--982
\crossref{http://dx.doi.org/10.1070/SM2004v195n07ABEH000834}
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  • http://dx.doi.org/10.4213/sm834
  • http://mi.mathnet.ru/eng/msb/v195/i7/p37

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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Odzijewicz A., “Noncommutative Kähler-like structures in quantization”, J. Geom. Phys., 57:4 (2007), 1259–1278  crossref  mathscinet  zmath  adsnasa
    2. Б. К. Квасневски, А. В. Лебедев, “Обратимые расширения необратимых динамических систем: $C^*$-метод”, Матем. сб., 199:11 (2008), 45–74  mathnet  crossref  mathscinet  zmath  adsnasa  elib; B. K. Kwaśniewski, A. V. Lebedev, “Reversible extensions of irreversible dynamical systems: the $C^*$-method”, Sb. Math., 199:11 (2008), 1621–1648  crossref
    3. Cho I., Jorgensen P.E.T., “$C^*$-subalgebras generated by a single operator in $B(H)$”, Acta Appl. Math., 108:3 (2009), 625–664  crossref  mathscinet  zmath
    4. Kwaśniewski B.K., Lebedev A.V., “Crossed product of a $C^*$-algebra by a semigroup of endomorphisms generated by partial isometries”, Integral Equations Operator Theory, 63:3 (2009), 403–425  crossref  mathscinet  zmath
    5. Cho I., Jorgensen P., “$C^*$-subalgebras generated by partial isometries”, J. Math. Phys., 50:2 (2009), 023516, 43 pp.  crossref  mathscinet  zmath  adsnasa
    6. Kuznetsova A.Yu., “On a Class of C*-Algebras Generated by a Countable Family of Partial Isometries”, Journal of Contemporary Mathematical Analysis-Armenian Academy of Sciences, 45:6 (2010), 320–328  crossref  mathscinet
    7. А. Б. Антоневич, В. И. Бахтин, А. В. Лебедев, “Скрещенное произведение $C^*$-алгебры на эндоморфизм, алгебры коэффициентов и трансфер-операторы”, Матем. сб., 202:9 (2011), 3–34  mathnet  crossref  mathscinet  zmath  adsnasa; A. B. Antonevich, V. I. Bakhtin, A. V. Lebedev, “Crossed product of a $C^*$-algebra by an endomorphism, coefficient algebras and transfer operators”, Sb. Math., 202:9 (2011), 1253–1283  crossref
    8. Ilwoo Cho, “Histories Distorted by Partial Isometries”, J. Phys. Math, 3 (2011), 1  crossref  mathscinet
    9. А. Ю. Кузнецова, Е. В. Патрин, “Об одном классе $C^*$-алгебр, порожденных семейством частичных изометрий и мультипликаторами”, Изв. вузов. Матем., 2012, № 6, 44–55  mathnet  mathscinet; A. Yu. Kuznetsova, E. V. Patrin, “One class of $C^*$-algebras generated by a family of partial isometries and multiplicators”, Russian Math. (Iz. VUZ), 56:6 (2012), 37–47  crossref
    10. Б. К. Квасневски, “$C^*$-алгебры, ассоциированные с обратимыми расширениями логистических отображений”, Матем. сб., 203:10 (2012), 71–116  mathnet  crossref  mathscinet  zmath; B. K. Kwaśniewski, “$C^*$-algebras associated with reversible extensions of logistic maps”, Sb. Math., 203:10 (2012), 1448–1489  crossref
    11. Kwasniewski B.K. Lebedev A.V., “Crossed Products by Endomorphisms and Reduction of Relations in Relative Cuntz-Pimsner Algebras”, J. Funct. Anal., 264:8 (2013), 1806–1847  crossref  mathscinet  zmath
    12. М. А. Аухадиев, А. С. Никитин, А. С. Ситдиков, “Скрещенное произведение алгебры канонических антикоммутационных соотношений в алгебре Кунца”, Изв. вузов. Матем., 2014, № 8, 86–89  mathnet
    13. M. A. Aukhadiev, A. S. Nikitin, A. S. Sitdikov, “A crossed product of the canonical anticommutation relations algebra in the Cuntz algebra”, Russ Math, 58:8 (2014), 71  crossref
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