Geodesic
A non-trivial example of a free-by-free group with the Haagerup property
François Gautero1 orcid
1Université de Nice Sophia Antipolis, Nice, France
Groups, geometry, and dynamics, Tome 6 (2012) no. 4, pp. 677-699

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DOI

The aim of this note is to prove that the group of Formanek–Procesi acts properly isometrically on a finite dimensional CAT(0) cube complex. This gives a first example of a non-linear semidirect product between two non abelian free groups which satisfies the Haagerup property.
DOI : 10.4171/ggd/170
Classification : 20-XX, 00-XX
Mots-clés : Haagerup property, a-T-menability, free groups, semidirect products

François Gautero  1

1 Université de Nice Sophia Antipolis, Nice, France 
François Gautero. A non-trivial example of a free-by-free group    with the Haagerup property. Groups, geometry, and dynamics, Tome 6 (2012) no. 4, pp. 677-699. doi: 10.4171/ggd/170
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