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- W2963310721 abstract "In this paper we study C ⁎ -algebra version of Sarnak Conjecture for noncommutative toral automorphisms. Let A Θ be a noncommutative torus and α Θ be the noncommutative toral automorphism arising from a matrix S ∈ G L ( d , Z ) . We show that if the Voiculescu–Brown entropy of α Θ is zero, then the sequence { ρ ( α Θ n u ) } n ∈ Z is a sum of a nilsequence and a zero-density-sequence, where u ∈ A Θ and ρ is any state on A Θ . Then by a result of Green and Tao [9] , this sequence is linearly disjoint from the Möbius function." @default.
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- W2963310721 date "2017-07-01" @default.
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- W2963310721 title "Sequences from zero entropy noncommutative toral automorphisms and Sarnak Conjecture" @default.
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- W2963310721 doi "https://doi.org/10.1016/j.jde.2017.02.046" @default.
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