THE THOMPSON GROUP F IS AMENABLE

DOI10.1142/S0219025709003719zbMath1193.43002OpenAlexW1971736425WikidataQ56385166 ScholiaQ56385166MaRDI QIDQ5325566

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Publication date: 10 August 2009

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219025709003719

zbMATH Keywords

amenabilityThompson group

Mathematics Subject Classification ID

Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Means on groups, semigroups, etc.; amenable groups (43A07) Measure (Gaussian, cylindrical, etc.) and integrals (Feynman, path, Fresnel, etc.) on manifolds (46T12) Measures, integration, derivative, holomorphy (all involving infinite-dimensional spaces) (46G99)

Related Items

On the stabilizers of finite sets of numbers in the R. Thompson group $F$, Some topics in the dynamics of group actions on rooted trees.

Cites Work

• Sur un groupe remarquable de difféomorphismes du cercle. (On a remarkable group of the diffeomorphisms of the circle)
• Gaussian measures in Banach spaces