Highly faithful actions and dense free subgroups in full groups
Groups, geometry, and dynamics, Tome 12 (2018) no. 1, pp. 207-230
Voir la notice de l'article provenant de la source EMS Press
In this paper, we show that every measure-preserving ergodic equivalence relation of cost less than m comes from a “rich” faithful invariant random subgroup of the free group on m generators, strengthening a result of Bowen which had been obtained by a Baire category argument.
Classification :
37-XX, 20-XX
Mots-clés : Free groups, full groups, orbit equivalence, cost, invariant random subgroups
Mots-clés : Free groups, full groups, orbit equivalence, cost, invariant random subgroups
Affiliations des auteurs :
François Le Maître  1
François Le Maître. Highly faithful actions and dense free subgroups in full groups. Groups, geometry, and dynamics, Tome 12 (2018) no. 1, pp. 207-230. doi: 10.4171/ggd/446
@article{10_4171_ggd_446,
author = {Fran\c{c}ois Le Ma{\^\i}tre},
title = {Highly faithful actions and dense free subgroups in full groups},
journal = {Groups, geometry, and dynamics},
pages = {207--230},
year = {2018},
volume = {12},
number = {1},
doi = {10.4171/ggd/446},
url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/446/}
}
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