Email this article On a Grading of the Cuntz Algebra
- Authors: Grigoryan S.A.1, Kuznetsova A.Y.2
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Affiliations:
- Kazan State Power Engineering University
- Kazan (Volga region) Federal University
- Issue: Vol 40, No 10 (2019)
- Pages: 1479-1482
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/205654
- DOI: https://doi.org/10.1134/S1995080219100111
- ID: 205654
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Abstract
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.
About the authors
S. A. Grigoryan
Kazan State Power Engineering University
Author for correspondence.
Email: gsuren@inbox.ru
Russian Federation, Kazan, 420066
A. Yu. Kuznetsova
Kazan (Volga region) Federal University
Author for correspondence.
Email: alla.kuznetsova@gmail.com
Russian Federation, Kazan, 420008
