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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 7, Pages 94–103 (Mi ivm7701)  
This article is cited in 1 scientific paper (total in 1 paper)

$N$-homogeneous $C^*$-algebras generated by idempotents

M. V. Shchukin

Chair of Physics and Higher Mathematics, International A. Sakharov Environmental University, Minsk, Republic of Belarus
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Abstract: In this paper we consider the $n$-homogeneous $C^*$-algebras generated by idempotents. We prove that a finitely generated unital $n$-homogeneous (when $n$ is greater than or equal to $2$) $C^*$-algebra $A$ can be generated by finite number of idempotents if and only if the algebra $A$ contains at least one non-trivial idempotent.
Keywords: $n$-homogeneous $C^*$-algebra, algebraic bundle, idempotent, finitely generated algebra.
Received: 22.02.2010
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2011, Volume 55, Issue 7, Pages 81–88
DOI: https://doi.org/10.3103/S1066369X11070103
Bibliographic databases:
Document Type: Article
UDC: 517.986
Language: Russian
Citation: M. V. Shchukin, “$N$-homogeneous $C^*$-algebras generated by idempotents”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 7, 94–103; Russian Math. (Iz. VUZ), 55:7 (2011), 81–88
Citation in format AMSBIB
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\by M.~V.~Shchukin
\paper $N$-homogeneous $C^*$-algebras generated by idempotents
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2011
\issue 7
\pages 94--103
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\elib{https://elibrary.ru/item.asp?id=16334308}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2011
\vol 55
\issue 7
\pages 81--88
\crossref{https://doi.org/10.3103/S1066369X11070103}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-80051676849}
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    • This publication is cited in the following 1 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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