Cantor systems, piecewise translations and simple amenable groups

Details Cantor systems, piecewise translations and simple amenable groups Cantor systems, piecewise translations and simple amenable groups

2012-04-10

arxiv.org/abs/1204.2132v2

Mathematics

Group Theory

10 pages

Scientific paper

We provide the first examples of finitely generated simple groups that are
amenable (and infinite). This follows from a general existence result on
invariant states for piecewise-translations of the integers. The states are
obtained by constructing a suitable family of densities on the classical
Bernoulli space.

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