Cantor systems, piecewise translations and simple amenable groups

Nicolas Monod
2013
Article

Résumé

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.

Source officielle

https://infoscience.epfl.ch/record/179598?ln=fr

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