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Haagerup property for wreath products constructed with Thompson's groups (1906.03789v3)
Published 10 Jun 2019 in math.GR, math.OA, and math.RT
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 $\oplus_{Q_2}G\rtimes V$ obtained from the group G and the usual action of Thompson's group V on the dyadic rational $Q_2$ of the unit interval has the Haagerup property.