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math.GR2026
Counterexamples to the continuous Aldous-Lyons conjecture
Tsachik Gelander
We construct non-co-sofic invariant random subgroups in connected simple real Lie groups of rank one with finite center, in Zariski connected simple rank-one groups over non-Archim…
math.GR2026
Small Kazhdan constants for small generating sets of linear groups
Tsachik Gelander, Alex Lubotzky, Jvbin Yao
Let G be a linear group with Kazhdan property (T) generated by d elements. We show that there are generating sets of size d+2 with arbitrarily small Kazhdan constants. We also prov…