About amenability of subgroups of the group of diffeomorphisms of the interval

Details About amenability of subgroups of the group of diffeomorphisms of the interval About amenability of subgroups of the group of diffeomorphisms of the interval

2009-05-30

arxiv.org/abs/0906.0107v1

Mathematics

Group Theory

17 pages

Scientific paper

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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