Inequality for a trace on a unital C*-algebra


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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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