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A continuum of non-measure equivalent groups (2512.04531v1)
Published 4 Dec 2025 in math.GR, math.DS, and math.OA
Abstract: We construct a continuum sized family ${G_x}_{x\in{0,1}{\mathbb N}}$ of pairwise non-measure equivalent countable groups which have property (T) (hence are finitely generated), have zero $\ell2$-Betti numbers of all orders, and are torsion-free.
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