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4 papers · 1 filter
Embeddable box spaces of free groups
A. Khukhro
We generalize the construction of Arzhantseva, Guentner and Spakula of a box space of the free group which admits a coarse embedding into Hilbert space. We show that for a finitely…
Highly transitive actions of groups acting on trees
Pierre Fima, Soyoung Moon, Yves Stalder
We show that a group acting on a non-trivial tree with finite edge stabilizers and icc vertex stabilizers admits a faithful and highly transitive action on an infinite countable se…
Proper actions of lamplighter groups associated with free groups
Yves De Cornulier, Yves Stalder, Alain Valette
Given a finite group and a free group , we prove that the wreath product admits a metrically proper, isometric action on a Hilbert space.
Wreath products with the integers, proper actions and Hilbert space compression
Yves Stalder, Alain Valette
We prove that the properties of acting metrically properly on some space with walls or some CAT(0) cube complex are closed by taking the wreath product with \Z. We also give a lowe…