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Brief communications
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
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
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
Linking options:
https://www.mathnet.ru/eng/ivm9901 https://www.mathnet.ru/eng/ivm/y2023/i7/p85
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Abstract page: | 95 | Full-text PDF : | 18 | References: | 29 | First page: | 6 |
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