Detailed Record


Radius of comparison and mean topological dimension: -actions


Abstract 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.
Authors Zhuang Niu University of WyomingORCID
Journal Info Cambridge University Press | Canadian Journal of Mathematics , pages: 1 - 27
Publication Date 6/19/2023
ISSN 0008-414X
TypeKeyword Image article
Open Access bronze Bronze Access
DOI https://doi.org/10.4153/s0008414x2300038x
KeywordsKeyword Image C*-Algebras (Score: 0.526868)