Abstract
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) |
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Pages (from-to) | 281-290 |
Number of pages | 10 |
Journal | Bulletin of the Belgian Mathematical Society - Simon Stevin |
Volume | 22 |
Issue number | 2 |
DOIs | |
State | Published - May 2015 |
ASJC Scopus subject areas
- General Mathematics