Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6425760 | Advances in Mathematics | 2013 | 35 Pages |
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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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Hanfeng Li,