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C*-algebras arising from substitutions

Published online by Cambridge University Press:  24 November 2009

MASARU FUJINO
MASARU FUJINO*
Affiliation:
Graduate School of Mathematics, Kyushu University, Hakozaki, Fukuoka, 812-8581, Japan (email: fujino@math.kyushu-u.ac.jp)
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Abstract

In this paper, we introduce a C*-algebra associated with a primitive substitution. We show that when σ is proper, the C*-algebra is simple and purely infinite and contains the associated Cuntz–Krieger algebra and the crossed product C*-algebra of the corresponding Cantor minimal system. We calculate the K-groups.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 30 , Issue 6 , December 2010 , pp. 1685 - 1702
Copyright
Copyright © Cambridge University Press 2009

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