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arxiv: math/0505197 · v1 · submitted 2005-05-10 · 🧮 math.GR · math.DS

Amenable actions, free products and a fixed point property

classification 🧮 math.GR math.DS
keywords freeproductsactionfixedpointpropertyactionsadmit
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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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