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On the K-theory of the C*-algebra associated with a one-sided shift space

Carlsen, Toke Meier and Silvestrov, Sergei LU (2010) In Proceedings of the Estonian Academy of Sciences 59(4). p.272-279
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.
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author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
C*-algebras, shift spaces, C*-correspondences, K-theory of C*-algebras, Cuntz-Pimsner C*-algebras, operator algebra, symbolic dynamics
in
Proceedings of the Estonian Academy of Sciences
volume
59
issue
4
pages
272 - 279
publisher
Estonian Academy Publishers
external identifiers
  • wos:000284152200004
  • scopus:79951836115
ISSN
1736-7530
DOI
10.3176/proc.2010.4.04
language
English
LU publication?
yes
id
22c08fe4-8862-4631-879f-b04e1562e5e3 (old id 1752768)
date added to LUP
2016-04-01 10:49:23
date last changed
2022-01-26 02:49:40
@article{22c08fe4-8862-4631-879f-b04e1562e5e3,
  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.}},
  author       = {{Carlsen, Toke Meier and Silvestrov, Sergei}},
  issn         = {{1736-7530}},
  keywords     = {{C*-algebras; shift spaces; C*-correspondences; K-theory of C*-algebras; Cuntz-Pimsner C*-algebras; operator algebra; symbolic dynamics}},
  language     = {{eng}},
  number       = {{4}},
  pages        = {{272--279}},
  publisher    = {{Estonian Academy Publishers}},
  series       = {{Proceedings of the Estonian Academy of Sciences}},
  title        = {{On the K-theory of the C*-algebra associated with a one-sided shift space}},
  url          = {{http://dx.doi.org/10.3176/proc.2010.4.04}},
  doi          = {{10.3176/proc.2010.4.04}},
  volume       = {{59}},
  year         = {{2010}},
}