About amenability of subgroups of the group of diffeomorphisms of the interval [0,1]

Details About amenability of subgroups of the group of diffeomorphisms of the interval [0,1] About amenability of subgroups of the group of diffeomorphisms of the interval [0,1]

Publishing date

2011-01-14

URL

arxiv.org/abs/1101.2888v1

Science

Mathematics

Field

Group Theory

Type

Scientific paper

Abstract

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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