Coboundaries of commuting Borel automorphisms

• Autorzy: Sanadhya Shrey

Identyfikatory

DOI

10.7494/OpMath.2021.41.5.667

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

coboundries; Rokhlin Lemma; Borel Zd-action

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2021
• Tom: Vol. 41, no. 5
• Strony: 667--683
• Opis fizyczny: Bibliogr. 35 poz.

Twórcy

autor

Sanadhya Shrey

• The University of Iowa Department of Mathematics 14 MacLean Hall, Iowa City, Iowa 52242, USA

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).