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Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2012, Volume 154, Book 4, Pages 130–138 (Mi uzku1163)  

This article is cited in 2 scientific papers (total in 2 papers)

On the extension of the Toeplitz algebra

T. A. Grigoryan, E. V. Lipacheva, V. A. Tepoyan

Kazan State Power Engineering University
Full-text PDF (279 kB) Citations (2)
References:
Abstract: We study the $C^*$-extensions of the Toeplitz algebras with the assistance of isometric operators. It is shown that in the case when the Toeplitz algebra acts irreducibly, all such $C^*$-extensions generate the same algebra, i.e., there is no non-trivial extension of the Toeplitz algebra. We provide the examples of the non-trivial extensions of the Toeplitz algebra in the case when its representation is reducible.
Keywords: inverse semigroup, inverse representation, Toeplitz algebra, $\pi$-extension, inverse $\pi$-extension, $C^*$-algebra.
Received: 28.09.2012
Document Type: Article
UDC: 517.98
Language: Russian
Citation: T. A. Grigoryan, E. V. Lipacheva, V. A. Tepoyan, “On the extension of the Toeplitz algebra”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 154, no. 4, Kazan University, Kazan, 2012, 130–138
Citation in format AMSBIB
\Bibitem{GriLipTep12}
\by T.~A.~Grigoryan, E.~V.~Lipacheva, V.~A.~Tepoyan
\paper On the extension of the Toeplitz algebra
\serial Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
\yr 2012
\vol 154
\issue 4
\pages 130--138
\publ Kazan University
\publaddr Kazan
\mathnet{http://mi.mathnet.ru/uzku1163}
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  • https://www.mathnet.ru/eng/uzku/v154/i4/p130
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
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    Full-text PDF :174
    References:62
     
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