Amenable actions of nonamenable groups Academic Article uri icon


  • We present two methods of constructing amenable (in the sense of Greenleaf) actions of nonamenable groups. In the first part of the paper, we construct a class of faithful transitive amenable actions of the free group using Schreier graphs. In the second part, we show that every finitely generated residually finite group can be embedded into a bigger residually finite group, which acts level-transitively on a locally finite rooted tree, so that the induced action on the boundary of the tree is amenable on every orbit. Bibliography: 25 titles. Springer Science+Business Media, Inc. 2007.

published proceedings

  • Journal of Mathematical Sciences

author list (cited authors)

  • Grigorchuk, R., & Nekrashevych, V.

citation count

  • 5

complete list of authors

  • Grigorchuk, R||Nekrashevych, V

publication date

  • January 2007