Higher order mixing and rigidity of algebraic actions on compact Abelian groups |
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| Authors: | Siddhartha Bhattacharya |
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| Affiliation: | (1) School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, 400005 Mumbai, India |
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| Abstract: | Let Γ be a discrete group and fori=1,2; letα i be an action of Γ on a compact abelian groupX i by continuous automorphisms ofX i. We study measurable equivariant mapsf: (X 1,α 1)→(X 2,α 2), and prove a rigidity result under certain assumption on the order of mixing of the underlying actions. |
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