Every zero-entropy sequence is Cesàro-close to a zero-entropy Toeplitz sequence, so Sarnak's conjecture reduces to the Toeplitz case.
Algebraic and topological dynamics, 7–37, Contemp
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Reducing the Sarnak Conjecture to Toeplitz systems
Every zero-entropy sequence is Cesàro-close to a zero-entropy Toeplitz sequence, so Sarnak's conjecture reduces to the Toeplitz case.