An adelic arithmeticity theorem for lattices in products
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🧮 math.GR
keywords
groupgeneratedlatticeadelicambientarithmeticarithmeticityassume
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We prove that, under mild assumptions, a lattice in a product of semi-simple Lie group and a totally disconnected locally compact group is, in a certain sense, arithmetic. We do not assume the lattice to be finitely generated or the ambient group to be compactly generated.
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