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 e-prints
- 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)
- E-Print:
- 12 pages