[Papers] [Alex Furman]

On the structure and arithmeticity of lattice envelopes

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 $\ell^2$-Betti number, acylindrically hyperbolic groups, and convergence groups.

Authors: U. Bader, A. Furman, R. Sauer
Bibliographical: C. R. Acad. Sci. Paris, Ser. I 353 (2015), pp. 409 - 413 .