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The positive cones of k0-groups of crossed products associated with Furstenberg transformations on the 2-torus
Published online by Cambridge University Press: 20 January 2009
Abstract
Let θ be an irrational number in (0,1) and f a real-valued continuous function on the 1-torus T. Letφθ, f be a Furstenberg transformation on the 2-torus T2 defined by for any (t, s) ∈ T2, where ρ is a non-zero integer, and we identify a function on T or T2 with a function on R or R2 with period 1, respectively. Let Aθ, f be the crossed product associated with φθ, f. In this paper we wiil compute the positive cone of the K0-group of Aθ, f.
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- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 43 , Issue 1 , February 2000 , pp. 167 - 175
- Copyright
- Copyright © Edinburgh Mathematical Society 2000
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