On the K-theory of the C*-algebra associated with a one-sided shift space
(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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/1752768
- author
- Carlsen, Toke Meier and Silvestrov, Sergei LU
- organization
- publishing date
- 2010
- 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}}, }