Amenable actions, free products and a fixed point property | Zendy

Glasner Y. | Zendy; Monod N. | Zendy

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Amenable actions, free products and a fixed point property

Author(s) -

Glasner Y.,

Monod N.

Publication year - 2007

Publication title -

bulletin of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.396

H-Index - 48

eISSN - 1469-2120

pISSN - 0024-6093

DOI - 10.1112/blms/bdl011

Subject(s) - mathematics , fixed point , property (philosophy) , fixed point property , invariant (physics) , class (philosophy) , action (physics) , free product , pure mathematics , group (periodic table) , mathematical analysis , computer science , artificial intelligence , philosophy , epistemology , chemistry , physics , organic chemistry , quantum mechanics , mathematical physics

We investigate the class of groups admitting an action on a set with an invariant mean. It turns out that many free products admit interesting actions of this kind. A complete characterization of such free products is given in terms of a fixed point property.

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