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Coboundaries of commuting Borel automorphisms

We show that if \(S\), \(T\) are two commuting automorphisms of a standard Borel space such that they generate a free Borel \(\mathbb{Z}^2\)-action then \(S\) and \(T\) do not have same sets of real valued bounded coboundaries. We also prove a weaker form of Rokhlin Lemma for Borel \(\mathbb{Z}^d\)-...

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Furkejuvvon:
Bibliográfalaš dieđut
Váldodahkki: Shrey Sanadhya
Materiálatiipa: Artigo
Giella:Inglês
Almmustuhtton: AGH Univeristy of Science and Technology Press 2021-09-01
Ráidu:Opuscula Mathematica
Fáttát:
Liŋkkat:https://www.opuscula.agh.edu.pl/vol41/5/art/opuscula_math_4132.pdf
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