C*-algebra generated by the paths semigroup
- Авторлар: Grigoryan S.1, Grigoryan T.1, Lipacheva E.1, Sitdikov A.1
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Мекемелер:
- Kazan State Power Engineering University
- Шығарылым: Том 37, № 6 (2016)
- Беттер: 740-748
- Бөлім: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/198459
- DOI: https://doi.org/10.1134/S1995080216060135
- ID: 198459
Дәйексөз келтіру
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.
Авторлар туралы
S. Grigoryan
Kazan State Power Engineering University
Хат алмасуға жауапты Автор.
Email: gsuren@inbox.ru
Ресей, Krasnosel’skaya ul. 51, Kazan, Tatarstan, 420066
T. Grigoryan
Kazan State Power Engineering University
Email: gsuren@inbox.ru
Ресей, Krasnosel’skaya ul. 51, Kazan, Tatarstan, 420066
E. Lipacheva
Kazan State Power Engineering University
Email: gsuren@inbox.ru
Ресей, Krasnosel’skaya ul. 51, Kazan, Tatarstan, 420066
A. Sitdikov
Kazan State Power Engineering University
Email: gsuren@inbox.ru
Ресей, Krasnosel’skaya ul. 51, Kazan, Tatarstan, 420066