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.
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Original Russian Text © A. M. Bikchentaev, 2016, published in Matematicheskie Zametki, 2016, Vol. 99, No. 4, pp. 483–488.
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Bikchentaev, A.M. Inequality for a trace on a unital C*-algebra. Math Notes 99, 487–491 (2016). https://doi.org/10.1134/S0001434616030214
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DOI: https://doi.org/10.1134/S0001434616030214