Invariant means for the wobbling group

Kate Juschenko; Mikael De La Salle

doi:10.36045/bbms/1432840864

Invariant means for the wobbling group

Kate Juschenko, Mikael De La Salle

Mathematics

Research output: Contribution to journal › Article › peer-review

8 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 language	English (US)
Pages (from-to)	281-290
Number of pages	10
Journal	Bulletin of the Belgian Mathematical Society - Simon Stevin
Volume	22
Issue number	2
DOIs	https://doi.org/10.36045/bbms/1432840864
State	Published - May 2015

ASJC Scopus subject areas

General Mathematics

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title = "Invariant means for the wobbling group",

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).",

author = "Kate Juschenko and {De La Salle}, Mikael",

note = "Funding Information: The work of M. de la Salle was partially supported by ANR grants OSQPI and NEUMANN.",

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language = "English (US)",

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T1 - Invariant means for the wobbling group

AU - Juschenko, Kate

AU - De La Salle, Mikael

N1 - Funding Information: The work of M. de la Salle was partially supported by ANR grants OSQPI and NEUMANN.

PY - 2015/5

Y1 - 2015/5

N2 - 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).

AB - 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).

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JO - Bulletin of the Belgian Mathematical Society - Simon Stevin

JF - Bulletin of the Belgian Mathematical Society - Simon Stevin

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Invariant means for the wobbling group

Abstract

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