%0 Journal Article
%T $C^*$-algebras arising from substitutions
%A Masaru Fujino
%J Mathematics
%D 2008
%I arXiv
%X 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.
%U http://arxiv.org/abs/0801.3354v2