Torsion in coinvariants of certain Cantor minimal $\mathbb {Z}^2$-systems
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- by Hiroki Matui PDF
- Trans. Amer. Math. Soc. 360 (2008), 4913-4928 Request permission
Abstract:
Let $G$ be a finite abelian group. We will consider a skew product extension of a product of two Cantor minimal $\mathbb {Z}$-systems associated with a $G$-valued cocycle. When $G$ is non-cyclic and the cocycle is non-degenerate, it will be shown that the skew product system has torsion in its coinvariants.References
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Additional Information
- Hiroki Matui
- Affiliation: Graduate School of Science, Chiba University, 1-33 Yayoi-cho, Inage-ku, Chiba 263-8522, Japan
- Email: matui@math.s.chiba-u.ac.jp
- Received by editor(s): September 11, 2006
- Published electronically: April 24, 2008
- Additional Notes: The author was supported in part by a grant from the Japan Society for the Promotion of Science
- © Copyright 2008 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 360 (2008), 4913-4928
- MSC (2000): Primary 37B05
- DOI: https://doi.org/10.1090/S0002-9947-08-04590-X
- MathSciNet review: 2403709