Quasitraces on real C*- and AW*-algebras

Kim D.I.; Rakhimov A.A.

doi:10.29229/uzmj.2025-3-12

Quasitraces on real C- and AW-algebras

Authors

Kim D.I. Author
Rakhimov A.A. Author

DOI:

https://doi.org/10.29229/uzmj.2025-3-12

Keywords:

quasitrace, AW*-algebra, C*-algebra, $d_\tau$-metric, quasinorm.

Abstract

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