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 ⨁Q_2 Γ⋊V obtained from the group Γ and the usual action of Richard Thompson's group V on the dyadic rational Q_2 of the unit interval has the Haagerup property.
Haagerup property for wreath products constructed with Thompson's groups
Brothier, Arnaud
2023-01-01
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 Γ is a discrete group with the Haagerup property, then the permutational restricted wreath product ⨁Q_2 Γ⋊V obtained from the group Γ and the usual action of Richard Thompson's group V on the dyadic rational Q_2 of the unit interval has the Haagerup property.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
23-B-GGD.pdf
accesso aperto
Tipologia:
Documento in Versione Editoriale
Licenza:
Creative commons
Dimensione
490.65 kB
Formato
Adobe PDF
|
490.65 kB | Adobe PDF | Visualizza/Apri |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
