Abstract
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.
Publisher
Canadian Mathematical Society
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