Mercuriale de groupes et de relations

D. Gaboriau

Article publié :

C. R. Acad. Sci. Paris Sér. I Math. 326 no. 2 (1998) 219-222.

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Lien vers les Comptes Rendus de l'Académie des Sciences

Abstract :

The cost is a dynamical invariant of discrete groups and equivalence relations. Establishing a list of prices
(mercuriale), we show that it is not trivial for some non amenable groups. It enables us to prove that
measure preserving free actions of free groups of different ranks on probability spaces cannot be orbit equivalent.