Article ID Journal Published Year Pages File Type
6425760 Advances in Mathematics 2013 35 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)
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