On the K-theory of the C*-algebra associated with a one-sided shift space
Carlsen, Toke Meier; Silvestrov, Sergei (2010). On the K-theory of the C*-algebra associated with a one-sided shift space. Proceedings of the Estonian Academy of Sciences, 59, (4), 272 - 279
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Published
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English
Authors:
Carlsen, Toke Meier
;
Silvestrov, Sergei
Department:
Mathematics (Faculty of Engineering)
Non-commutative Geometry-lup-obsolete
Research Group:
Non-commutative Geometry-lup-obsolete
Abstract:
One-sided shift spaces are a special kind of non-invertible topological dynamical system with which one can associate a C*-algebra. We show how to construct the C*-algebra associated with a one-sided shift space as the Cuntz-Pimsner C*-algebra of a C*-correspondence and use this to compute its K-theory.
Keywords:
C*-algebras ;
shift spaces ;
C*-correspondences ;
K-theory of C*-algebras ;
Cuntz-Pimsner C*-algebras ;
operator algebra ;
symbolic dynamics
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