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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2023, Number 7, Pages 85–90
DOI: https://doi.org/10.26907/0021-3446-2023-7-85-90 (Mi ivm9901) 		 
This article is cited in 2 scientific papers (total in 2 papers)

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Grading of a semigroup $C^*$-algebra by a local group

S. A. Grigoryan, A. Sh. Sharafutdinov

Kazan State Power Engineering University, 51 Krasnoselskaya str., Kazan, 420066 Russia
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DOI: https://doi.org/10.26907/0021-3446-2023-7-85-90
Abstract: In this paper we consider the grading by a local group of the semigroup $C^\ast$-algebra generated by the free product of abelian semigroups. The simplest of these algebras is the Cuntz-Toeplitz algebra $TO_n$. For such algebras, an abstract version of the Fourier series by the local group is constructed. A number of properties of the "harmonics" of this series are given.
Keywords: semigroup $C^\ast$-algebra, local group, Fell bundle, partial representation.
Received: 26.05.2023
Revised: 26.05.2023
Accepted: 29.05.2023
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2023, Volume 67, Issue 7, Pages 72–76
DOI: https://doi.org/10.3103/S1066369X23070022
Document Type: Article
UDC: 517.98
Language: Russian
Citation: S. A. Grigoryan, A. Sh. Sharafutdinov, “Grading of a semigroup $C^*$-algebra by a local group”, Izv. Vyssh. Uchebn. Zaved. Mat., 2023, no. 7, 85–90; Russian Math. (Iz. VUZ), 67:7 (2023), 72–76
Citation in format AMSBIB
\Bibitem{GriSha23}
\by S.~A.~Grigoryan, A.~Sh.~Sharafutdinov
\paper Grading of a semigroup $C^*$-algebra by a local group
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2023
\issue 7
\pages 85--90
\mathnet{http://mi.mathnet.ru/ivm9901}
\crossref{https://doi.org/10.26907/0021-3446-2023-7-85-90}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2023
\vol 67
\issue 7
\pages 72--76
\crossref{https://doi.org/10.3103/S1066369X23070022}
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    • This publication is cited in the following 2 articles:
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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