The C*-algebra of a minimal homeomorphism with finite mean dimension has finite radius of comparison
classification
🧮 math.OA
math.DS
keywords
algebracomparisondimensionfinitehomeomorphismmeanminimalradius
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Let $X$ be an infinite compact metric space and let $h$ be a minimal homeomorphism of $X$. We prove that the radius of comparison of the transformation group C*-algebra of $h$ is at most $1$ plus $36$ times the mean dimension of $h$.
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