On the structure and arithmeticity of lattice envelopes

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.

7 pages

References in corpus (4)

• C*-simplicity and the unique trace property for discrete groups
• OE and W* superrigidity results for actions by surface braid groups
• Vanishing of ${\ell }^2$-Betti numbers of locally compact groups as an invariant of coarse equivalence
• A dynamical characterization of acylindrically hyperbolic groups

Cited by in corpus (4)

• Measure equivalence classification of transvection-free right-angled Artin groups
• Super-Rigidity and non-linearity for lattices in products
• Model geometries of finitely generated groups
• Local-to-Global-rigidity of lattices in $S{L}_n(\mathbb{K})$