Coboundaries of commuting Borel automorphisms

Shrey Sanadhya

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arXiv · 2006.02925

Coboundaries of commuting Borel automorphisms

Shrey Sanadhya

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Abstract

We show that if $S,T$ are two commuting automorphisms of standard Borel space such that they generate a free Borel $\Z^2$-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 $\Z^d$-actions.

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BibTeX RIS

Shrey Sanadhya. 2020-06-04. Coboundaries of commuting Borel automorphisms. https://arxiv.org/abs/2006.02925

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