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Paper detail

Cantor systems, piecewise translations and simple amenable groups

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.

preprint2012arXivOpen access
Kate JuschenkoNicolas Monod
math.GR
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Kate JuschenkoNicolas Monod

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