Invariant means for the wobbling group

Kate Juschenko, Mikael De La Salle

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

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 languageEnglish (US)
Pages (from-to)1-8
Number of pages8
JournalBulletin of the Belgian Mathematical Society - Simon Stevin
Volume22
Issue number2
DOIs
StatePublished - May 2015

ASJC Scopus subject areas

  • Mathematics(all)

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