Haagerup property for wreath products constructed with Thompson's groups
Group Theory
2023-05-15 v3 Operator Algebras
Representation Theory
Abstract
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 G is a discrete group with the Haagerup property, then the wreath product obtained from the group G and the usual action of Thompson's group V on the dyadic rational of the unit interval has the Haagerup property.
Cite
@article{arxiv.1906.03789,
title = {Haagerup property for wreath products constructed with Thompson's groups},
author = {Arnaud Brothier},
journal= {arXiv preprint arXiv:1906.03789},
year = {2023}
}