On a Grading of the Cuntz Algebra
- Авторы: Grigoryan S.1, Kuznetsova A.2
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Учреждения:
- Kazan State Power Engineering University
- Kazan (Volga region) Federal University
- Выпуск: Том 40, № 10 (2019)
- Страницы: 1479-1482
- Раздел: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/205654
- DOI: https://doi.org/10.1134/S1995080219100111
- ID: 205654
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Аннотация
In the paper we introduce the notion of a local group and define a Fell bundle over a local group and a *-representation of a local group into a C*-algebra. We show that with every partial representation of a group the local group is connected as well as the respective Fell bundle. Also we show that the Cuntz and the Cuntz-Toeplitz algebras are local group graded.
Об авторах
S. Grigoryan
Kazan State Power Engineering University
Автор, ответственный за переписку.
Email: gsuren@inbox.ru
Россия, Kazan, 420066
A. Kuznetsova
Kazan (Volga region) Federal University
Автор, ответственный за переписку.
Email: alla.kuznetsova@gmail.com
Россия, Kazan, 420008