Cantor systems, piecewise translations and simple amenable groups
2013
Abstract
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.
Details
Title
Cantor systems, piecewise translations and simple amenable groups
Author(s)
Juschenko, Kate ; Monod, Nicolas
Published in
Annals of Mathematics
Pagination
13
Volume
178
Issue
2
Pages
775-787
Date
2013
Publisher
Princeton, Annal Mathematics
ISSN
0003-486X
Other identifier(s)
View record in Web of Science
Additional link
URL
Laboratories
EGG
Record Appears in
Scientific production and competences > SB - School of Basic Sciences > MATH - Institute of Mathematics > EGG - Chair of ergodic and geometric group theory
Scientific production and competences > SB - School of Basic Sciences > Mathematics
Peer-reviewed publications
Work produced at EPFL
Journal Articles
Published
Scientific production and competences > SB - School of Basic Sciences > Mathematics
Peer-reviewed publications
Work produced at EPFL
Journal Articles
Published
Record creation date
2012-07-03