%0 Journal Article
%T Arithmetic aspects of self-similar groups
%A Michael Kapovich
%J Mathematics
%D 2008
%I arXiv
%X We prove that an irreducible lattice in a semisimple algebraic group is virtually isomorphic to an arithmetic lattice if and only if it admits a faithful self-similar action on a rooted tree of finite valency.
%U http://arxiv.org/abs/0809.0323v2