Coboundaries of commuting Borel automorphisms

Shrey Sanadhya

doi:10.7494/OPMATH.2021.41.5.667

Coboundaries of commuting Borel automorphisms

Shrey Sanadhya

Research output: Contribution to journal › Article › peer-review

Abstract

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 language	English
Pages (from-to)	667-683
Number of pages	17
Journal	Opuscula Mathematica
Volume	41
Issue number	5
DOIs	https://doi.org/10.7494/OPMATH.2021.41.5.667
State	Published - 1 Jan 2021
Externally published	Yes

Keywords

Borel ℤ-action
Coboundries
Rokhlin Lemma

ASJC Scopus subject areas

General Mathematics

Access to Document

10.7494/OPMATH.2021.41.5.667

Cite this

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KW - Coboundries

KW - Rokhlin Lemma

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Coboundaries of commuting Borel automorphisms

Abstract

Keywords

ASJC Scopus subject areas

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