About amenability of subgroups of the group of diffeomorphisms of the interval [0,1]
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🧮 math.GR
math.FA
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groupamenabilitydiffeomorphismsintervalsubgroupsaveragingcontinuousdiff
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Averaging linear functional on the space continuous functions of the group of diffeomorphisms of interval is found. Amenability of several discrete subgroups of the group of diffeomorphisms $\Diff^3([0,1])$ of interval is prove. In particular, a solution of the problem of amenability of the Thompson's group $F$ is given.
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