Geodesic
Cantor systems, piecewise translations and simple amenable groups
Kate Juschenko1 ; Nicolas Monod2
1 Vanderbilt University, Nashville, TN 37240
2 SB - MATHGEOM - EGG, EPFL Station 8, CH-1015 Lausanne, Switzerland
Annals of mathematics, Tome 178 (2013) no. 2, pp. 775-787.

Voir la notice de l'article provenant de la source Annals of Mathematics website

We provide the first examples of finitely generated simple groups that are amenable (and infinite). To this end, we prove that topological full groups of minimal systems are amenable. 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.
DOI : 10.4007/annals.2013.178.2.7

Kate Juschenko 1 ; Nicolas Monod 2

1 Vanderbilt University, Nashville, TN 37240
2 SB - MATHGEOM - EGG, EPFL Station 8, CH-1015 Lausanne, Switzerland 
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Kate Juschenko; Nicolas Monod. Cantor systems, piecewise translations and simple amenable groups. Annals of mathematics, Tome 178 (2013) no. 2, pp. 775-787. doi : 10.4007/annals.2013.178.2.7. http://geodesic.mathdoc.fr/articles/10.4007/annals.2013.178.2.7/

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