Odometer actions of the Heisenberg group

Alexandre I. Danilenko, Mariusz Lemanczyk

Let $H_3(\mathbb{R})$ denote the 3-dimensional real Heisenberg group. Given a family of lattices ${\Gamma }_1\supset {\Gamma }_2\supset \cdots$ in it, let $T$ stand for the associated uniquely ergodic $…