Torsion in coinvariants of certain Cantor minimal ℤ²-systems

Matui, Hiroki

doi:10.1090/S0002-9947-08-04590-X

Torsion in coinvariants of certain Cantor minimal $\mathbb {Z}^2$-systems
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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.

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