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arXiv · 1411.7332

On the structure and arithmeticity of lattice envelopes

Uri Bader·Alex Furman·Roman Sauer
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Abstract

We announce results about the structure and arithmeticity of all possible lattice embeddings of a class of countable groups which encompasses all linear groups with simple Zariski closure, all groups with non-vanishing first l2-Betti number, word hyperbolic groups, and, more general, convergence groups.

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Uri Bader, Alex Furman, Roman Sauer. 2014-11-26. On the structure and arithmeticity of lattice envelopes. https://doi.org/10.1215/00127094-2019-0042

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