Loading [MathJax]/jax/output/CommonHTML/jax.js
Trudy Matematicheskogo Instituta imeni V.A. Steklova
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Trudy Mat. Inst. Steklova:
Year:
Volume:
Issue:
Page:
Find




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

Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2021, Volume 313, Pages 67–77
DOI: https://doi.org/10.4213/tm4170 (Mi tm4170) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Limits of Inductive Sequences of Toeplitz–Cuntz Algebras

S. A. Grigoryana, R. N. Gumerovb, E. V. Lipachevaa

a Kazan State Power Engineering University, Krasnoselskaya ul. 51, Kazan, 420066 Russia
b N. I. Lobachevsky Institute of Mathematics and Mechanics, Kazan Federal University, Kremlevskaya ul. 35, Kazan, 420008 Russia
Full-text PDF (214 kB) Citations (6)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tm4170
Abstract: We consider inductive sequences of Toeplitz–Cuntz algebras. The connecting homomorphisms of such a sequence are defined by a finite set of sequences of positive integers. We prove that the inductive limit of such a sequence of Toeplitz–Cuntz algebras is isomorphic to the reduced semigroup C∗-algebra constructed for the unitalization of the free product of a finite family of semigroups of positive rational numbers. We show that the limit of the inductive sequence of Toeplitz–Cuntz algebras defined by a finite set of sequences of positive integers is a simple C∗-algebra.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-02-2020-1478
This work was performed in the framework of the development program of the Volga Region Scientific–Educational Centre of Mathematics (contract no. 075-02-2020-1478).
Received: July 31, 2020
Revised: September 19, 2020
Accepted: December 12, 2020
English version:
Proceedings of the Steklov Institute of Mathematics, 2021, Volume 313, Pages 60–69
DOI: https://doi.org/10.1134/S0081543821020073
Bibliographic databases:
Document Type: Article
UDC: 517.986
Language: Russian
Citation: S. A. Grigoryan, R. N. Gumerov, E. V. Lipacheva, “Limits of Inductive Sequences of Toeplitz–Cuntz Algebras”, Mathematics of Quantum Technologies, Collected papers, Trudy Mat. Inst. Steklova, 313, Steklov Math. Inst., Moscow, 2021, 67–77; Proc. Steklov Inst. Math., 313 (2021), 60–69
Citation in format AMSBIB
\Bibitem{GriGumLip21}
\by S.~A.~Grigoryan, R.~N.~Gumerov, E.~V.~Lipacheva
\paper Limits of Inductive Sequences of Toeplitz--Cuntz Algebras
\inbook Mathematics of Quantum Technologies
\bookinfo Collected papers
\serial Trudy Mat. Inst. Steklova
\yr 2021
\vol 313
\pages 67--77
\publ Steklov Math. Inst.
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm4170}
\crossref{https://doi.org/10.4213/tm4170}
\elib{https://elibrary.ru/item.asp?id=46932303}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2021
\vol 313
\pages 60--69
\crossref{https://doi.org/10.1134/S0081543821020073}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000674956500007}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85110932668}
Linking options:
  • https://www.mathnet.ru/eng/tm4170
  • https://doi.org/10.4213/tm4170
  • https://www.mathnet.ru/eng/tm/v313/p67
    • This publication is cited in the following 6 articles:
    1. R.N. Gumerov, E.V. Lipacheva, “Automorphisms of the limits for the direct sequences of the Toeplitz-Cuntz algebras”, Journal of Mathematical Analysis and Applications, 533:2 (2024), 127991  crossref  mathscinet
    2. S. A. Grigoryan, T. A. Grigoryan, “Semigroup C∗-algebras generated by a free product of abelian semigroups”, jour, 2:3 (2024), 29  crossref
    3. Ufa Math. J., 16:3 (2024), 113–124  mathnet  crossref
    4. S. A. Grigoryan, A. Sh. Sharafutdinov, “Graduirovka polugruppovoi $C^\ast$-algebry po lokalnoi gruppe”, Izv. vuzov. Matem., 2023, no. 7, 85–90  mathnet  crossref
    5. S. A. Grigoryan, A. Sh. Sharafutdinov, “Grading of a Semigroup C*-Algebra by a Local Group”, Russ Math., 67:7 (2023), 72  crossref
    6. R. N. Gumerov, “Nakryvayuschie gruppy i ikh prilozheniya: obzor”, Uchen. zap. Kazan. un-ta. Ser. Fiz.-matem. nauki, 164, no. 1, Izd-vo Kazanskogo un-ta, Kazan, 2022, 5–42  mathnet  crossref  mathscinet
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
    Statistics & downloads:
    Abstract page:360
    Full-text PDF :124
    References:41
    First page:30
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025