Proves that a class of skew products on the circle and Heisenberg nilmanifold are distal and Möbius-disjoint, verifying Sarnak's conjecture for these systems.
The purpose of this sectio n is to construct a subset of C(T × Γ\G), which spans a C-linear subspace that is dense in C(T × Γ\G)
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M\"{o}bius disjointness for skew products on a circle and a nilmanifold
Proves that a class of skew products on the circle and Heisenberg nilmanifold are distal and Möbius-disjoint, verifying Sarnak's conjecture for these systems.