An algebraic property of joinings
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- by Young-Ho Ahn and Mariusz Lemańczyk PDF
- Proc. Amer. Math. Soc. 131 (2003), 1711-1716 Request permission
Abstract:
We show that an ergodic automorphism is semisimple if and only if the set of ergodic self-joinings is a subsemigroup of the semigroup of self-joinings.References
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Additional Information
- Young-Ho Ahn
- Affiliation: Department of Mathematics, Korea Advanced Institute of Science and Technology, Taejon 305-701, Korea
- Email: ahn@euclid.kaist.ac.kr
- Mariusz Lemańczyk
- Affiliation: Faculty of Mathematics and Computer Science, Nicholas Copernicus University, Chopina 12/18 87-100 Toruń, Poland
- MR Author ID: 112360
- Email: mlem@mat.uni.torun.pl
- Received by editor(s): July 14, 2001
- Published electronically: January 15, 2003
- Additional Notes: The first author was supported by the KOSEF postdoctoral fellowship program and the Nicholas Copernicus University.
The second author’s research was partly supported by KBN grant P03A 027 21 (2001) - Communicated by: Michael Handel
- © Copyright 2003 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 131 (2003), 1711-1716
- MSC (2000): Primary 28D05, 37A05
- DOI: https://doi.org/10.1090/S0002-9939-03-06893-X
- MathSciNet review: 1955257