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Dimension groups of
topological joinings and non-coalescence of Cantor minimal
systems
Hiroki Matui |
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Vol. 204 (2002), No. 1, 163–176
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Abstract |
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When we have two extensions of a Cantor minimal system which are both one-to-one on at least one orbit, we can construct new Cantor minimal systems called topological joinings. We compute the dimension group of the joining in a special case. As an application, we show that a non-invertible endomorphism can induce the identity map on the dimension group of a Cantor minimal system. |
Milestones
Received: 10 June 2000
Revised: 26 June 2001
Published: 1 May 2002
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Authors |
| Hiroki Matui | |
| Department of Mathematics and
Informations Chiba University Yayoityo 1-33, Inageku Chiba 263-8522 JAPAN |
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