Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika
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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 10, Pages 89–93 (Mi ivm8105)  
This article is cited in 7 scientific papers (total in 7 papers)

Brief communications

A compact quantum semialgebra generated by an isometry

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

Chair of Higher Mathematics, Kazan State Energy University, Kazan, Russia
Full-text PDF (161 kB) Citations (7)
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Abstract: In this paper we construct a compact quantum semigroup structure on a Toeplitz algebra. We prove the existence of a subalgebra in the dual algebra isomorphic to the algebra of regular Borel measures on a circle with the convolution product. We also prove the existence of a Haar functionals in the dual algebra and in the subalgebra mentioned above. We show that this compact quantum semigroup contains a dense subalgebra with the structure of a weak Hopf algebra.
Keywords: quantum semigroup, quantum group, Haar functional, Toeplitz algebra, weak Hopf algebra, inverse semigroup.
Presented by the member of Editorial Board: D. Kh. Mushtari
Received: 23.03.2011
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2011, Volume 55, Issue 10, Pages 78–81
DOI: https://doi.org/10.3103/S1066369X11100100
Bibliographic databases:
Document Type: Article
UDC: 512.667+517.5
Language: Russian
Citation: M. A. Aukhadiev, S. A. Grigoryan, E. V. Lipacheva, “A compact quantum semialgebra generated by an isometry”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 10, 89–93; Russian Math. (Iz. VUZ), 55:10 (2011), 78–81
Citation in format AMSBIB
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\by M.~A.~Aukhadiev, S.~A.~Grigoryan, E.~V.~Lipacheva
\paper A compact quantum semialgebra generated by an isometry
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2011
\issue 10
\pages 89--93
\mathnet{http://mi.mathnet.ru/ivm8105}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2918420}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2011
\vol 55
\issue 10
\pages 78--81
\crossref{https://doi.org/10.3103/S1066369X11100100}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84856246269}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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