Irreducible representations of inseparable \(C^*\)-algebras
Irreducible representations of a \(C^*\)-algebra are shown to induce irreducible representations on certain arbitrarily large separable subalgebras. Many structural properties of \(C^*\)-algebras, such as liminality, antiliminality, simplicity and primeness, can also be reduced to separable subalgebras. Such results have been applied by \textit{B. Blackadar} [Indiana Univ. Math. J. 27, 1021-1026 (1978; Zbl 0393.46047)] and \textit{G. A. Elliott} and \textit{L. Zsidó} [J. Oper. Theor. 8, 227-277 (1982; Zbl 0515.46056)].
Irreducible representations of a \(C^*\)-algebra
scientific article; zbMATH DE number 3883029