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Topological free entropy dimension for approximately divisible \(C^*\)-algebras. (English) Zbl 1321.46059
Summary: Let \(\mathcal{A}\) be a unital separable approximately divisible \(C^*\)-algebra. We show that \(\mathcal{A}\) is generated by two self-adjoint elements and the topological free entropy dimension of any finite generating set of \(\mathcal{A}\) is less than or equal to 1.
MSC:
46L05 General theory of \(C^*\)-algebras
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