Email this article Minimal self-joinings of infinite mixing actions of rank 1
- Authors: Klimov I.V.1, Ryzhikov V.V.1
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Affiliations:
- Lomonosov Moscow State University
- Issue: Vol 102, No 5-6 (2017)
- Pages: 787-791
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/150336
- DOI: https://doi.org/10.1134/S0001434617110189
- ID: 150336
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Abstract
We prove that measure-preserving actions of rank 1 of the groups ℤn and ℝn on a Lebesgue space with a σ-finite measure have minimal self-joinings.
About the authors
I. V. Klimov
Lomonosov Moscow State University
Author for correspondence.
Email: klimov.iv.v@gmail.com
Russian Federation, Moscow
V. V. Ryzhikov
Lomonosov Moscow State University
Email: klimov.iv.v@gmail.com
Russian Federation, Moscow
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