arXiv:2101.09071 Abstract | arXiv Analytics

arXiv:2101.09071 [math.GR]Abstract References Reviews Resources

Finitely presented simple groups and measure equivalence

Published 2021-01-22Version 1

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.

Comments: 17 pages

Categories: math.GR

Subjects: 20E32, 20E42, 20F05, 20F55, 20J05, 20J06, 22E41, 28D15

Keywords: simple groups, measure equivalence, explicit infinite families, betti numbers, measure equivalent

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