Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4590796 | Journal of Functional Analysis | 2011 | 55 Pages |
Abstract
The local properties of entropy for a countable discrete amenable group action are studied. For such an action, a local variational principle for a given finite open cover is established, from which the variational relation between the topological and measure-theoretic entropy tuples is deduced. While doing this it is shown that two kinds of measure-theoretic entropy for finite Borel covers coincide. Moreover, two special classes of such an action: systems with uniformly positive entropy and completely positive entropy are investigated.
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