Premium
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.