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.


Published in:
Annals of Mathematics, 178, 2, 775-787
Year:
2013
Publisher:
Princeton, Annal Mathematics
ISSN:
0003-486X
Laboratories:




 Record created 2012-07-03, last modified 2018-03-17

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