@Article{Sanadhya2021,
author = "Sanadhya, Shrey",
title = "Coboundaries of commuting Borel automorphisms",
journal = "Opuscula Math.",
year = "2021",
volume = "41",
number = "5",
pages = "667--683",
doi = "https://doi.org/10.7494/OpMath.2021.41.5.667",
url = "https://doi.org/10.7494/OpMath.2021.41.5.667",
abstract = "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 \(\mathbb{Z}^d\)-actions.",
keywords = "coboundries, Rokhlin Lemma, Borel \(\mathbb{Z}^d\)-action",
issn = "1232-9274"
}