C*-algebra generated by the paths semigroup
- Авторы: Grigoryan S.1, Grigoryan T.1, Lipacheva E.1, Sitdikov A.1
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Учреждения:
- Kazan State Power Engineering University
- Выпуск: Том 37, № 6 (2016)
- Страницы: 740-748
- Раздел: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/198459
- DOI: https://doi.org/10.1134/S1995080216060135
- ID: 198459
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Аннотация
In this paper we study the structure of the C*-algebra, generated by the representation of the paths semigroup on a partially ordered set (poset) and get the net of isomorphic C*-algebras over this poset. We construct the extensions of this algebra, such that the algebra is an ideal in that extensions and quotient algebras are isomorphic to the Cuntz algebra.
Об авторах
S. Grigoryan
Kazan State Power Engineering University
Автор, ответственный за переписку.
Email: gsuren@inbox.ru
Россия, Krasnosel’skaya ul. 51, Kazan, Tatarstan, 420066
T. Grigoryan
Kazan State Power Engineering University
Email: gsuren@inbox.ru
Россия, Krasnosel’skaya ul. 51, Kazan, Tatarstan, 420066
E. Lipacheva
Kazan State Power Engineering University
Email: gsuren@inbox.ru
Россия, Krasnosel’skaya ul. 51, Kazan, Tatarstan, 420066
A. Sitdikov
Kazan State Power Engineering University
Email: gsuren@inbox.ru
Россия, Krasnosel’skaya ul. 51, Kazan, Tatarstan, 420066