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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, Number 8, Pages 86–89 (Mi ivm8922)  
This article is cited in 1 scientific paper (total in 1 paper)

Brief communications

Crossed product of the canonical anticommutative relations algebra in the Cuntz algebra

M. A. Aukhadiev, A. S. Nikitin, A. S. Sitdikov

Chair of Higher Mathematics, Kazan State Power Engineering University, 51 Krasnosel'skaya str., Kazan, 420066 Russia
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Abstract: We show that the Cuntz algebra is a $C^*$-crossed product of the canonical anticommutation relations algebra, generated by a standard recursive fermion system, with the group of integers by endomorphism.
Keywords: Cuntz algebra, crossed product, recursive fermion system, algebra of fields, $C^*$-algebra, isometry.
Presented by the member of Editorial Board: A. M. Bikchentaev
Received: 24.03.2014
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2014, Volume 58, Issue 8, Pages 71–73
DOI: https://doi.org/10.3103/S1066369X1408009X
Bibliographic databases:
Document Type: Article
UDC: 512.667+517.518
Language: Russian
Citation: M. A. Aukhadiev, A. S. Nikitin, A. S. Sitdikov, “Crossed product of the canonical anticommutative relations algebra in the Cuntz algebra”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 8, 86–89; Russian Math. (Iz. VUZ), 58:8 (2014), 71–73
Citation in format AMSBIB
\Bibitem{AukNikSit14}
\by M.~A.~Aukhadiev, A.~S.~Nikitin, A.~S.~Sitdikov
\paper Crossed product of the canonical anticommutative relations algebra in the Cuntz algebra
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2014
\issue 8
\pages 86--89
\mathnet{http://mi.mathnet.ru/ivm8922}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2014
\vol 58
\issue 8
\pages 71--73
\crossref{https://doi.org/10.3103/S1066369X1408009X}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84904692158}
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  • https://www.mathnet.ru/eng/ivm8922
  • https://www.mathnet.ru/eng/ivm/y2014/i8/p86
    • This publication is cited in the following 1 articles:
    1. S. Grigoryan, T. Grigoryan, E. Lipacheva, A. Sitdikov, “$C^*$ -algebra generated by the paths semigroup”, Lobachevskii J. Math., 37:6 (2016), 740–748  crossref  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    Abstract page:224
    Full-text PDF :56
    References:64
    First page:9
     
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