Möbius disjointness for skew products on a circle and a nilmanifold

Wen Huang, Jianya Liu, Ke Wang

Let $\mathbb{T}$ be the unit circle and $\Gamma \backslash G$ the $3$-dimensional Heisenberg nilmanifold. We prove that a class of skew products on $\mathbb{T}\times \Gamma \backslash G$ are…