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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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References:
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