Sofic mean dimension

Published 1 May 2011 in math.DS | (1105.0140v2)

Abstract: We introduce mean dimensions for continuous actions of countable sofic groups on compact metrizable spaces. These generalize the Gromov-Lindenstrauss-Weiss mean dimensions for actions of countable amenable groups, and are useful for distinguishing continuous actions of countable sofic groups with infinite entropy.

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Hanfeng Li

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