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- W2005553485 abstract "We introduce a notion of C*-symbolic dynamical system, that is a finite family of endomorphisms of a C*-algebra with some conditions. The endomorphisms are indexed by symbols and yield both a nontrivial subshift and a Hilbert C*-bimodule. The associated C*-algebra with the Hilbert C*-bimodule is regarded as a crossed product by the subshift. We also introduce a notion of strong shift equivalence of C*-symbolic dynamical systems. We then prove that if two C*-symbolic dynamical systems are strong shift equivalent, the gauge actions of the crossed product C*-algebras by their subshifts are stably outer conjugate." @default.
- W2005553485 created "2016-06-24" @default.
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- W2005553485 date "2007-01-25" @default.
- W2005553485 modified "2023-09-25" @default.
- W2005553485 title "Actions of symbolic dynamical systems on C*-algebras" @default.
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- W2005553485 doi "https://doi.org/10.1515/crelle.2007.026" @default.
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