Amenable actions, free products and a fixed point property
Abstract
We investigate the class of groups admitting an action on a set with an invariant mean. It turns out that many free products admit such an action. We give a complete characterisation of such free products in terms of a strong fixed point property.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 May 2005
 DOI:
 10.48550/arXiv.math/0505197
 arXiv:
 arXiv:math/0505197
 Bibcode:
 2005math......5197G
 Keywords:

 Mathematics  Group Theory;
 Mathematics  Dynamical Systems;
 43A07 (Primary) 20E06;
 20F65 (Secondary)
 EPrint:
 12 pages