Masaru Fujino
Published 2008-01-22, updated 2008-06-25Version 2
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.
Purely infinite C*-algebras arising from crossed products
Crossed products for interactions and graph algebras
On the commutant of $C(X)$ in $C^*$-crossed products by $\mathbb{Z}$ and their representations
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