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Finitely presented simple groups and measure equivalence

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 نشر من قبل Antonio L\\'opez Neumann
 تاريخ النشر 2021
  مجال البحث
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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 $L^2$-Betti numbers.

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