Amenable actions, free products and a fixed point property

Details Amenable actions, free products and a fixed point property Amenable actions, free products and a fixed point property

2005-05-10

arxiv.org/abs/math/0505197v1

See final version in: Bull. London Math. Soc. 39 No. 1 (2007) 138--150

Mathematics

Group Theory

12 pages

Scientific paper

10.1112/blms/bdl011

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.

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