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arXiv · 1008.2911

Simple groups without lattices

Uri Bader·Pierre-Emmanuel Caprace·Tsachik Gelander·Shahar Mozes
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Abstract

We show that the group of almost automorphisms of a d-regular tree does not admit lattices. As far as we know this is the first such example among (compactly generated) simple locally compact groups.

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Uri Bader, Pierre-Emmanuel Caprace, Tsachik Gelander, Shahar Mozes. 2011-03-13. Simple groups without lattices. https://doi.org/10.1112/blms%2Fbdr061

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