Author

George A. Elliott

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Preprint Oct 2026

Mean dimension and radius of comparison

Consider a minimal and free topological dynamical system $(X, \Gamma)$, where $\Gamma$ is a discrete amenable group. Assume $(X, \Gamma)$ has the uniform Rokhlin property (URP) and the Cuntz comparison of open sets (COS), then it is shown that $$\mathrm{rc}(\mathrm{C}(X) \rtimes \Gamma) = \frac{1}{2} \mathrm{mdim}(X, \...

George A. Elliott, Z. Niu · 0 citations

Preprint Sep 2026

On generators of $\mathrm{C}_r^*(\mathbb{F}_2)$

It is shown that the reduced group C*-algebra $\mathrm{C}_r^*(\mathbb{F}_2)$ is singly generated, where $\mathbb F_2$ is the free group on two generators. With respect to the generator constructed in the paper, the topological free entropy dimension of $\mathrm{C}_r^*(\mathbb{F}_2)$ is shown to be $2$.

George A. Elliott, Chun-Guang Li, Z. Niu · 0 citations