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Affability of equivalence relations arising from two-dimensional substitution tilings

Published online by Cambridge University Press:  17 March 2006

HIROKI MATUI
HIROKI MATUI
Affiliation:
Graduate School of Science and Technology, Chiba University, 1-33 Yayoi-cho, Inage-ku, Chiba 263-8522, Japan (e-mail: matui@math.s.chiba-u.ac.jp)
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Abstract

We will show that an equivalence relation on a Cantor set arising from a two-dimensional substitution tiling by polygons is affable in the sense of Giordano, Putnam and Skau.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 26 , Issue 2 , April 2006 , pp. 467 - 480
Copyright
2006 Cambridge University Press

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