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Creators/Authors contains: "Lott, Adam"

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  1. (, Ergodic Theory and Dynamical Systems)
    Abstract A probability measure-preserving action of a discrete amenable groupGis said to bedominantif it is isomorphic to a generic extension of itself. Recently, it was shown that for$$G = \mathbb {Z}$$, an action is dominant if and only if it has positive entropy and that for anyG, positive entropy implies dominance. In this paper, we show that the converse also holds for anyG, that is, that zero entropy implies non-dominance. 
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