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Finitely presented simple groups and measure equivalence (2101.09071v2)
Published 22 Jan 2021 in math.GR
Abstract: We exhibit explicit infinite families of finitely presented, Kazhdan, simple groups that are pairwise not measure equivalent. These groups are lattices acting on products of buildings. We obtain the result by studying vanishing and non-vanishing of their $L2$-Betti numbers.
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