This work explores the properties of quasitraces in real C-algebras, revealing connections with enveloping C-algebras.
In this paper, a real analogue of a quasitrace is given, and its connection with the quasitrace of the enveloping C*-algebra is found. Similar to the complex case, some interesting properties of a quasitrace and the corresponding metric for real C*-algebras are obtained
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Kim et al. (2025) studied this question.
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