14 citations · 30 across the 8 of their papers we have counts for
9 papers
Uniform Roe algebras of uniformly locally finite metric spaces are rigid
Florent P. Baudier, Bruno de Mendonça Braga, Ilijas Farah +3
We show that if and are uniformly locally finite metric spaces whose uniform Roe algebras, $\cstu(X)$ and $\cstu(Y)$, are isomorphic as \cstar-algebras, then and ar…
On the structure of asymptotic expanders
Ana Khukhro, Kang Li, Federico Vigolo +1
In this paper, we use geometric tools to study the structure of asymptotic expanders and show that a sequence of asymptotic expanders always admits a "uniform exhaustion by expande…
Coarse fundamental groups and box spaces
Thiebout Delabie, Ana Khukhro
We use a coarse version of the fundamental group first introduced by Barcelo, Kramer, Laubenbacher and Weaver to show that box spaces of finitely presented groups detect the normal…
Box spaces of the free group that neither contain expanders nor embed into a Hilbert space
Thiebout Delabie, Ana Khukhro
We construct box spaces of a free group that do not coarsely embed into a Hilbert space, but do not contain coarsely embedded expanders. We do this by considering two sequences of…
Expanders and box spaces
Ana Khukhro, Alain Valette
We consider box spaces of finitely generated, residually finite groups , and try to distinguish them up to coarse equivalence. We show that, for , the group $SL_n(\math…
Embeddability of generalized wreath products and box spaces
Chris Cave, Dennis Dreesen, Ana Khukhro
Given two finitely generated groups that coarsely embed into a Hilbert space, it is known that their wreath product also embeds coarsely into a Hilbert space. We introduce a wreath…
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…
Box spaces, group extensions and coarse embeddings into Hilbert space
A. Khukhro
We investigate how coarse embeddability of box spaces into Hilbert space behaves under group extensions. In particular, we prove a result which implies that a semidirect product of…
Uniform Embeddability into Hilbert Space
A. Khukhro
The open question of what prevents a metric space with bounded geometry from being uniformly embeddable in Hilbert space is answered here for box spaces of residually finite groups…