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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DOI:
| Published | 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
ISSN:
1736-7530
LUP-ID:
22c08fe4-8862-4631-879f-b04e1562e5e3 | Link: https://lup.lub.lu.se/record/22c08fe4-8862-4631-879f-b04e1562e5e3 | Statistics

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