$C^*$-algebras arising from substitutions

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dc.creatorFujino, Masaru
dc.date2008-01-22
dc.date2008-06-25
dc.date.accessioned2026-07-07T09:46:17Z
dc.date.available2026-07-07T09:46:17Z
dc.descriptionIn 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.
dc.description19 pages
dc.identifierhttps://arxiv.org/abs/0801.3354
dc.identifierhttp://arxiv.org/abs/0801.3354
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/163478
dc.subjectOperator Algebras
dc.subjectDynamical Systems
dc.title$C^*$-algebras arising from substitutions
dc.typetext

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