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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2013, Number 10, Pages 63–68 (Mi ivm8838)  
This article is cited in 2 scientific papers (total in 2 papers)

Brief communications

On compact quantum semigroup $QS_\mathrm{red}$

M. A. Aukhadiev, S. A. Grigoryan, E. V. Lipacheva

Chair of Higher Mathematics, Kazan State Power Engineering University, 51 Krasnosel'skaya str., Kazan, 420066 Russia
Full-text PDF (183 kB) Citations (2)
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Abstract: We study some properties of a reduced semigroup $C^*$-algebra of a semigroup $S$. For the semigroup $C^*$-algebra generated by the deformation of the algebra of continuous functions on a compact abelian group we obtain a structure of a compact quantum semigroup. We also consider morphisms of constructed compact quantum semigroups.
Keywords: $C^*$-algebra, compact quantum semigroup, isometric representation, morphisms of quantum semigroups.
Presented by the member of Editorial Board: D. Kh. Mushtari
Received: 22.02.2013
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2013, Volume 57, Issue 10, Pages 54–58
DOI: https://doi.org/10.3103/S1066369X1310006X
Bibliographic databases:
Document Type: Article
UDC: 512.667+517.986
Language: Russian
Citation: M. A. Aukhadiev, S. A. Grigoryan, E. V. Lipacheva, “On compact quantum semigroup $QS_\mathrm{red}$”, Izv. Vyssh. Uchebn. Zaved. Mat., 2013, no. 10, 63–68; Russian Math. (Iz. VUZ), 57:10 (2013), 54–58
Citation in format AMSBIB
\Bibitem{AukGriLip13}
\by M.~A.~Aukhadiev, S.~A.~Grigoryan, E.~V.~Lipacheva
\paper On compact quantum semigroup $QS_\mathrm{red}$
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2013
\issue 10
\pages 63--68
\mathnet{http://mi.mathnet.ru/ivm8838}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2013
\vol 57
\issue 10
\pages 54--58
\crossref{https://doi.org/10.3103/S1066369X1310006X}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84885616130}
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    • 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
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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