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arXiv · 0801.3354

$C^*$-algebras arising from substitutions

Masaru Fujino
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Abstract

In this paper, we introduce a $C^{\ast}$-algebra associated with a proper primitive substitution. We show that the $C^{\ast}$-algebra is simple and purely infinite and contains the associated Cuntz-Krieger algebra and the crossed product $C^{\ast}$-algebra of the corresponding Cantor minimal system. We calculate the $K$-groups.

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Masaru Fujino. 2008-06-25. $C^*$-algebras arising from substitutions. https://arxiv.org/abs/0801.3354

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