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Benjamini-Schramm and spectral convergence (1805.07083v4)
Published 18 May 2018 in math.GT, math.DG, and math.GR
Abstract: It is shown that under mild conditions, Benjamini-Schramm convergence of lattices in locally compact groups is equivalent to spectral convergence. Next both notions are extended to the relative case and are then expressed in terms of relative L2-theory.
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