Actions of Symbolic Dynamical Systems on C∗-algebras Ii. Simplicity of C∗-symbolic Crossed Products and Some Examples
نویسنده
چکیده
We 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.
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