Geodesic
Radius of comparison and mean topological dimension: $\mathbb Z^d$-actions
Canadian journal of mathematics, Tome 76 (2024) no. 4, pp. 1240-1266

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DOI

Consider a minimal-free topological dynamical system $(X, \mathbb Z^d)$. It is shown that the radius of comparison of the crossed product C*-algebra $\mathrm {C}(X) \rtimes \mathbb Z^d$ is at most half the mean topological dimension of $(X, \mathbb Z^d)$. As a consequence, the C*-algebra $\mathrm {C}(X) \rtimes \mathbb Z^d$ is classified by the Elliott invariant if the mean dimension of $(X, \mathbb Z^d)$ is zero.
DOI : 10.4153/S0008414X2300038X
Mots-clés : Transformation group C*-algebras, radius of comparison, mean topological dimension 
Niu, Zhuang. Radius of comparison and mean topological dimension: $\mathbb Z^d$-actions. Canadian journal of mathematics, Tome 76 (2024) no. 4, pp. 1240-1266. doi: 10.4153/S0008414X2300038X
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     title = {Radius of comparison and mean topological dimension: $\mathbb Z^d$-actions},
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