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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

Kazunori Kodaka
Kazunori Kodaka
Affiliation:
Department of Mathematical Sciences, College of Science, Ryukyu University, Nishihara-cho, Okinawa, 908-0213, Japan
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Abstract

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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.

Keywords

crossed productequivalence bimodulefull projectionFurstenberg transformationK0-grouppositive cone

Information

Type
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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