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arXiv · 1705.08158

An adelic arithmeticity theorem for lattices in products

Uri Bader·Alex Furman·Roman Sauer
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Abstract

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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Uri Bader, Alex Furman, Roman Sauer. 2017-05-23. An adelic arithmeticity theorem for lattices in products. https://arxiv.org/abs/1705.08158

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