Properties of quasitraces on real C*-algebras
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Quasitraces play a significant role in the study of structural properties of C*-algebras,
especially in connection with finiteness and classification problems. In this paper, quasitraces on
real C*-algebras are studied and some of their main properties are established. The behavior of
quasitraces under matrix amplifications is investigated, and the conditions ensuring their extension
to 2-quasitraces are considered. In addition, the relationship between quasitraces on real C*-algebras
and their complexifications is analyzed. The obtained results provide a basis for understanding
tracial-type functionals in the real conditions and complement existing results known for complex
C*-algebras.
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