C*-algebra generated by the paths semigroup
- Authors: Grigoryan S.1, Grigoryan T.1, Lipacheva E.1, Sitdikov A.1
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Affiliations:
- Kazan State Power Engineering University
- Issue: Vol 37, No 6 (2016)
- Pages: 740-748
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/198459
- DOI: https://doi.org/10.1134/S1995080216060135
- ID: 198459
Cite item
Abstract
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.
About the authors
S. Grigoryan
Kazan State Power Engineering University
Author for correspondence.
Email: gsuren@inbox.ru
Russian Federation, Krasnosel’skaya ul. 51, Kazan, Tatarstan, 420066
T. Grigoryan
Kazan State Power Engineering University
Email: gsuren@inbox.ru
Russian Federation, Krasnosel’skaya ul. 51, Kazan, Tatarstan, 420066
E. Lipacheva
Kazan State Power Engineering University
Email: gsuren@inbox.ru
Russian Federation, Krasnosel’skaya ul. 51, Kazan, Tatarstan, 420066
A. Sitdikov
Kazan State Power Engineering University
Email: gsuren@inbox.ru
Russian Federation, Krasnosel’skaya ul. 51, Kazan, Tatarstan, 420066