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2019
The subject of Operator Algebras is a flourishing broad area of mathematics which has strong ties to many other areas in mathematics including Functional/Harmonic Analysis, Topology, (non-commutative) Geometry, Geometric Group Theory, Dynamical Systems, Descriptive Set Theory, Model Theory, Random Matrices and many more.
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The subject of Operator Algebras is a flourishing broad area of mathematics which has strong ties to many other areas in mathematics including Functional/Harmonic Analysis, Topology, (non-commutative) Geometry, Geometric Group Theory, Dynamical Systems, Descriptive Set Theory, Model Theory, Random Matrices and many more.
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Proceedings of the American Mathematical Society, 1986
It is shown that every injective \(C^*\)-algebra is perfect in the sense of \textit{F. W. Shultz} [Commun. Math. Physics 82, 497-509 (1982; Zbl 0488.46050)]. This generalizes the result of \textit{C. A. Akemann} and \textit{F. W. Shultz} for Type I von Neumann algebras [Mem. Am. Math. Soc. 326, 117 p. (1985; Zbl 0584.46045)].
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It is shown that every injective \(C^*\)-algebra is perfect in the sense of \textit{F. W. Shultz} [Commun. Math. Physics 82, 497-509 (1982; Zbl 0488.46050)]. This generalizes the result of \textit{C. A. Akemann} and \textit{F. W. Shultz} for Type I von Neumann algebras [Mem. Am. Math. Soc. 326, 117 p. (1985; Zbl 0584.46045)].
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