Invariant Means For The Wobbling Group

BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN（2015）

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摘要

Given a metric space (X, d), the wobbling group of X is the group of bijections g : X -> X satisfying sup d(g(x),x) < infinity. We study algebraic andxXanalytic properties of W(X) in relation with the metric space structure of X, such as amenability of the action of the lamplighter group circle plus(X) Z/2Z (sic) W(X) on circle plus(X) Z/2Z and property (T).

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关键词

wobblings, amenable actions, random walks, property (T)

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