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Denjoy systems and dimension groups

Published online by Cambridge University Press:  01 June 2008

KENICHI MASUI ,
FUMIAKI SUGISAKI  and
MASAMICHI YOSHIDA
KENICHI MASUI
Affiliation:
Department of Mathematics, Osaka City University, 3-3-138, Sugimoto, Sumiyoshi-ku, Osaka, 558-8585 Japan (email: masuikenichi@yahoo.co.jp, yoshida@sci.osaka-cu.ac.jp)
FUMIAKI SUGISAKI
Affiliation:
Department of Mathematics, Kumamoto University, Kurokami, Kumamoto, 860-8555 Japan (email: sugisaki@sci.kumamoto-u.ac.jp)
MASAMICHI YOSHIDA
Affiliation:
Department of Mathematics, Osaka City University, 3-3-138, Sugimoto, Sumiyoshi-ku, Osaka, 558-8585 Japan (email: masuikenichi@yahoo.co.jp, yoshida@sci.osaka-cu.ac.jp)
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Abstract

We construct an adic model for the Denjoy system (X,T) of finite double orbit number. It is based on the dual Ostrowski numeration system. By using this construction, we can determine the K-theory of associated with (X,T) in an effective way.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 28 , Issue 3 , June 2008 , pp. 877 - 913
Copyright
Copyright © Cambridge University Press 2008

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