Haagerup Property for subgroups of ${SL}_2$ and residually free groups
de Cornulier, Yves
Bull. Belg. Math. Soc. Simon Stevin, Tome 12 (2006) no. 5, p. 341-343 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
In this note, we prove that all subgroups of $\textnormal{SL}(2,R)$ have the Haagerup Property if $R$ is a commutative reduced ring. This is based on the case when $R$ is a field, recently established by Guentner, Higson, and Weinberger. As an application, residually free groups have the Haagerup Property.
Publié le : 2006-06-14
Classification:  Haagerup Property,  residually free groups,  20E26,  22D10,  20G35 
@article{1148059468,
     author = {de Cornulier, Yves},
     title = {Haagerup Property for subgroups of ${SL}\_2$ and residually free groups},
     journal = {Bull. Belg. Math. Soc. Simon Stevin},
     volume = {12},
     number = {5},
     year = {2006},
     pages = { 341-343},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1148059468}
}

de Cornulier, Yves. Haagerup Property for subgroups of ${SL}_2$ and residually free groups. Bull. Belg. Math. Soc. Simon Stevin, Tome 12 (2006) no. 5, pp.  341-343. http://gdmltest.u-ga.fr/item/1148059468/