Actions of amenable equivalence relations on CAT(0) fields
Anderegg, Martin; Henry, Philippe
2014

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Abstract

We present the general notion of Borel fields of metric spaces and show some properties of such fields. Then we make the study specific to the Borel fields of proper CAT(0) spaces and we show that the standard tools we need behave in a Borel way. We also introduce the notion of the action of an equivalence relation on Borel fields of metric spaces and we obtain a rigidity result for the action of an amenable equivalence relation on a Borel field of proper finite dimensional CAT(0) spaces. This main theorem is inspired by the result obtained by Adams and Ballmann regarding the action of an amenable group on a proper CAT(0) space.

Details

Title Actions of amenable equivalence relations on CAT(0) fields
Author(s) Anderegg, Martin ; Henry, Philippe
Published in Ergodic Theory And Dynamical Systems
Pagination 34
Volume 34
Pages 21-54
Date 2014
Publisher New York, Cambridge University Press
ISSN 0143-3857
Note National Licences
DOI https://doi.org/10.1017/etds.2012.122
Other identifier(s) View record in Web of Science
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
Record creation date 2014-08-29

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