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Mat. Sb., 2011, Volume 202, Number 9, Pages 3–34 (Mi msb7703)  

This article is cited in 14 scientific papers (total in 14 papers)

Crossed product of a $C^*$-algebra by an endomorphism, coefficient algebras and transfer operators

A. B. Antonevichab, V. I. Bakhtina, A. V. Lebedevab

a Belarusian State University
b University of Bialystok

Abstract: The paper presents a construction of the crossed product of a $C^*$-algebra by an endomorphism generated by partial isometry.
Bibliography: 26 titles.

Keywords: $C^*$-algebra, endomorphism, transfer operator, crossed product.
Author to whom correspondence should be addressed

DOI: https://doi.org/10.4213/sm7703

Full text: PDF file (698 kB)
References: PDF file   HTML file

English version:
Sbornik: Mathematics, 2011, 202:9, 1253–1283

Bibliographic databases:

UDC: 517.986.24
MSC: 46L55
Received: 28.02.2010

Citation: A. B. Antonevich, V. I. Bakhtin, A. V. Lebedev, “Crossed product of a $C^*$-algebra by an endomorphism, coefficient algebras and transfer operators”, Mat. Sb., 202:9 (2011), 3–34; Sb. Math., 202:9 (2011), 1253–1283

Citation in format AMSBIB
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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. Astrid an Huef, Iain Raeburn, “Stacey crossed products associated to Exel systems”, Integral Equations Operator Theory, 72:4 (2012), 537–561  crossref  mathscinet  zmath  isi  elib  scopus
    2. B. K. Kwaśniewski, “$C^*$-algebras associated with reversible extensions of logistic maps”, Sb. Math., 203:10 (2012), 1448–1489  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    3. Kwaśniewski B.K., “On transfer operators for $C^*$-dynamical systems”, Rocky Mountain J. Math., 42:3 (2012), 919–936  crossref  mathscinet  zmath  isi  scopus
    4. Kwaśniewski B.K., “$C^*$-algebras generalizing both relative Cuntz-Pimsner and Doplicher-Roberts algebras”, Trans. Amer. Math. Soc., 365:4 (2013), 1809–1873  crossref  mathscinet  zmath  isi  scopus
    5. 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  isi  scopus
    6. B. K. Kwaśniewski, “Crossed products for interactions and graph algebras”, Integr. Equ. Oper. Theory, 80:3 (2014), 415–451  crossref  mathscinet  zmath  isi  scopus
    7. M. A. Aukhadiev, A. S. Nikitin, A. S. Sitdikov, “Crossed product of the canonical anticommutative relations algebra in the Cuntz algebra”, Russian Math. (Iz. VUZ), 58:8 (2014), 71–73  mathnet  crossref
    8. K. H. Hovsepyan, “The $C^*$-algebra $\mathfrak{T}_m$ as a crossed product”, Uch. zapiski EGU, ser. Fizika i Matematika, 2014, no. 3, 24–30  mathnet
    9. B. K. Kwaśniewski, “Ideal structure of crossed products by endomorphisms via reversible extensions of $C^*$-dynamical systems”, Internat. J. Math., 26:3 (2015), 1550022, 45 pp.  crossref  mathscinet  zmath  isi  scopus
    10. B. K. Kwaśniewski, “Crossed products by endomorphisms of $C_0(X)$-algebras”, J. Funct. Anal., 270:6 (2016), 2268–2335  crossref  mathscinet  zmath  isi  scopus
    11. Kwasniewski B.K., Szymanski W., “Pure infiniteness and ideal structure of $C^*$-algebras associated to Fell bundles”, J. Math. Anal. Appl., 445:1 (2017), 898–943  crossref  mathscinet  zmath  isi  scopus
    12. A. B. Antonevich, A. N. Buzulutskaya (Glaz), “Almost-Periodic Algebras and Their Automorphisms”, Math. Notes, 102:5 (2017), 610–622  mathnet  crossref  crossref  mathscinet  isi  elib
    13. Kwasniewski B.K., “Exel'S Crossed Product and Crossed Products By Completely Positive Maps”, Houst. J. Math., 43:2 (2017), 509–567  mathscinet  zmath  isi
    14. A. Yu. Savin, “O gomotopicheskoi klassifikatsii ellipticheskikh zadach so szhatiyami i $K$-gruppakh sootvetstvuyuschikh $C^*$-algebr”, Differentsialnye i funktsionalno-differentsialnye uravneniya, SMFN, 64, no. 1, Rossiiskii universitet druzhby narodov, M., 2018, 164–179  mathnet  crossref
  • Математический сборник Sbornik: Mathematics (from 1967)
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