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) < ∞. We study algebraic and analytic properties of x∈X W(X) in relation with the metric space structure of X, such as amenability of the action of the lamplighter group ⊕X ℤ/2ℤ ⋊ W(X) on ⊕X ℤ/2ℤ and property (T).
|Original language||English (US)|
|Number of pages||10|
|Journal||Bulletin of the Belgian Mathematical Society - Simon Stevin|
|State||Published - May 2015|
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