Sibirskii Matematicheskii Zhurnal
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Sibirsk. Mat. Zh.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Sibirskii Matematicheskii Zhurnal, 2018, Volume 59, Number 1, Pages 95–109
DOI: https://doi.org/10.17377/smzh.2018.59.109
(Mi smj2957)
 

This article is cited in 17 scientific papers (total in 17 papers)

Limit automorphisms of the $C^*$-algebras generated by isometric representations for semigroups of rationals

R. N. Gumerov

Kazan (Volga Region) Federal University, Kazan, Russia
References:
Abstract: We consider inductive sequences of Toeplitz algebras whose connecting homomorphisms are defined by collections of primes. The inductive limits of these sequences are $C^*$-algebras generated by representations for semigroups of rationals. We study the limit endomorphisms of these $C^*$-algebras induced by morphisms between copies of the same inductive sequences of Toeplitz algebras. We establish necessary and sufficient conditions for these endomorphisms to be automorphisms of the algebras.
Keywords: automorphism, Toeplitz algebra, inductive sequence, inductive limit, limit endomorphism, semigroup $C^*$-algebra, semigroup of rationals, sequence of primes, solenoid.
Received: 12.09.2016
English version:
Siberian Mathematical Journal, 2018, Volume 59, Issue 1, Pages 73–84
DOI: https://doi.org/10.1134/S0037446618010093
Bibliographic databases:
Document Type: Article
UDC: 517.986
MSC: 35R30
Language: Russian
Citation: R. N. Gumerov, “Limit automorphisms of the $C^*$-algebras generated by isometric representations for semigroups of rationals”, Sibirsk. Mat. Zh., 59:1 (2018), 95–109; Siberian Math. J., 59:1 (2018), 73–84
Citation in format AMSBIB
\Bibitem{Gum18}
\by R.~N.~Gumerov
\paper Limit automorphisms of the $C^*$-algebras generated by isometric representations for semigroups of rationals
\jour Sibirsk. Mat. Zh.
\yr 2018
\vol 59
\issue 1
\pages 95--109
\mathnet{http://mi.mathnet.ru/smj2957}
\crossref{https://doi.org/10.17377/smzh.2018.59.109}
\elib{https://elibrary.ru/item.asp?id=32824591}
\transl
\jour Siberian Math. J.
\yr 2018
\vol 59
\issue 1
\pages 73--84
\crossref{https://doi.org/10.1134/S0037446618010093}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000427144300009}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85043515898}
Linking options:
  • https://www.mathnet.ru/eng/smj2957
  • https://www.mathnet.ru/eng/smj/v59/i1/p95
  • This publication is cited in the following 17 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Сибирский математический журнал Siberian Mathematical Journal
    Statistics & downloads:
    Abstract page:567
    Full-text PDF :176
    References:216
    First page:192
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025