Actions of symbolic dynamical systems on $C^*$-algebras II. Simplicity of $C^*$-symbolic crossed products and some examples

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dc.creatorMatsumoto, Kengo
dc.date2007-05-23
dc.date.accessioned2026-07-07T08:02:55Z
dc.date.available2026-07-07T08:02:55Z
dc.descriptionWe have introduced a notion of $C^*$-symbolic dynamical system in [K. Matsumoto: Actions of symbolic dynamical systems on $C^*$-algebras, to appear in J. Reine Angew. Math.], that is a finite family of endomorphisms of a $C^*$-algebra with some conditions. The endomorphisms are indexed by symbols and yield both a subshift and a $C^*$-algebra of a Hilbert $C^*$-bimodule. The associated $C^*$-algebra with the $C^*$-symbolic dynamical system is regarded as a crossed product by the subshift. We will study a simplicity condition of the $C^*$-algebras of the $C^*$-symbolic dynamical systems. Some examples such as irrational rotation Cuntz-Krieger algebras will be studied.
dc.description28 pages
dc.identifierhttps://arxiv.org/abs/0705.3283
dc.identifierhttp://arxiv.org/abs/0705.3283
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/129393
dc.subjectOperator Algebras
dc.subject46L35, Secondary 37B10, 46L05.}
dc.titleActions of symbolic dynamical systems on $C^*$-algebras II. Simplicity of $C^*$-symbolic crossed products and some examples
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