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Sofic mean dimension

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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AuthorshipTopic signalWSofic mean dimensionpreprint / 2013AHanfeng LiResearcherTmath.DS4970 works
PaperSignal 102 links

Sofic mean dimension

preprint / 2013

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