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Amenable actions, free products and a fixed point property

Yair Glasner·Nicolas Monod
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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.

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Yair Glasner, Nicolas Monod. 2005-05-10. Amenable actions, free products and a fixed point property. https://doi.org/10.1112/blms%2Fbdl011

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