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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
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
2010-12-30 07:20:13
date last changed
2018-05-29 11:29:48
@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},
  keyword      = {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},
  volume       = {59},
  year         = {2010},
}