“…for some g : T 1 → R, i..e., T (α,A) has the form (x, ϕ) → (x + α, ϕ + g(x)), then the action T (α,A) is known to satisfy the Möbius disjointness conjecture as long as g is C 1+ǫ by the recent work of de Faveri [16] (see also the earlier works [25,29,31,34,42], which assumed higher regularity and/or other conditions).…”