Haagerup property for wreath products constructed with Thompson's groups
Groups, geometry, and dynamics, Tome 17 (2023) no. 2, pp. 671-718
Voir la notice de l'article provenant de la source EMS Press
Using recent techniques introduced by Jones, we prove that a large family of discrete groups and groupoids have the Haagerup property. In particular, we show that if Γ is a discrete group with the Haagerup property, then the permutational restricted wreath product ⨁Q2Γ⋊V obtained from the group Γ and the usual action of Richard Thompson's group V on the dyadic rational Q2 of the unit interval has the Haagerup property.
Classification :
20-XX
Mots-clés : Haagerup property, Richard Thompson’s groups, wreath products, Jones’ technology
Mots-clés : Haagerup property, Richard Thompson’s groups, wreath products, Jones’ technology
Affiliations des auteurs :
Arnaud Brothier 1
Arnaud Brothier. Haagerup property for wreath products constructed with Thompson's groups. Groups, geometry, and dynamics, Tome 17 (2023) no. 2, pp. 671-718. doi: 10.4171/ggd/714
@article{10_4171_ggd_714,
author = {Arnaud Brothier},
title = {Haagerup property for wreath products constructed with {Thompson's} groups},
journal = {Groups, geometry, and dynamics},
pages = {671--718},
year = {2023},
volume = {17},
number = {2},
doi = {10.4171/ggd/714},
url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/714/}
}
Cité par Sources :