Coboundaries of commuting Borel automorphisms

Shrey Sanadhya

Research output: Contribution to journalArticlepeer-review


We show that if S, T are two commuting automorphisms of a standard Borel space such that they generate a free Borel ℤ2-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 ℤd-actions.

Original languageEnglish
Pages (from-to)667-683
Number of pages17
JournalOpuscula Mathematica
Issue number5
StatePublished - 1 Jan 2021
Externally publishedYes


  • Borel ℤ-action
  • Coboundries
  • Rokhlin Lemma

ASJC Scopus subject areas

  • General Mathematics


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