Inequality for a trace on a unital C*-algebra
- Authors: Bikchentaev A.M.1
-
Affiliations:
- Kazan (Volga Region) Federal University
- Issue: Vol 99, No 3-4 (2016)
- Pages: 487-491
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/149262
- DOI: https://doi.org/10.1134/S0001434616030214
- ID: 149262
Cite item
Abstract
A new inequality for a trace on a unital C*-algebra is established. It is shown that the inequality obtained characterizes the traces in the class of all positive functionals on a unital C*-algebra. A new criterion for the commutativity of unital C*-algebras is proved.
About the authors
A. M. Bikchentaev
Kazan (Volga Region) Federal University
Author for correspondence.
Email: Airat.Bikchentaev@kpfu.ru
Russian Federation, Kazan
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