TY  - JOUR
ID  - Sanadhya2021
LB  - Sanadhya2021
AU  - Sanadhya, Shrey
TI  - Coboundaries of commuting Borel automorphisms
ST  - Coboundaries of commuting Borel automorphisms
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2021
VL  - 41
IS  - 5
SP  - 667
EP  - 683
DO  - https://doi.org/10.7494/OpMath.2021.41.5.667
UR  - https://doi.org/10.7494/OpMath.2021.41.5.667
AB  - 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.
KW  - coboundries
KW  - Rokhlin Lemma
KW  - Borel \(\mathbb{Z}^d\)-action
SN  - 1232-9274
ER  -