K-theory for Cuntz-Krieger algebras arising from real quadratic maps

We compute the K-groups for the Cuntz-Krieger algebras 𝒪A𝒦(fμ), where A𝒦(fμ) is the Markov transition matrix arising from the kneading sequence 𝒦(fμ) of the one-parameter family of real quadratic maps fμ.

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Main Authors: Nuno Martins, Ricardo Severino, J. Sousa Ramos
Format: Article
Language:English
Published: Wiley 2003-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171203209236
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author Nuno Martins
Ricardo Severino
J. Sousa Ramos
author_facet Nuno Martins
Ricardo Severino
J. Sousa Ramos
author_sort Nuno Martins
collection DOAJ
description We compute the K-groups for the Cuntz-Krieger algebras 𝒪A𝒦(fμ), where A𝒦(fμ) is the Markov transition matrix arising from the kneading sequence 𝒦(fμ) of the one-parameter family of real quadratic maps fμ.
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-1500a16f6b53411b9e8b8a5a0f8522d42025-02-03T01:22:47ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252003-01-012003342139214610.1155/S0161171203209236K-theory for Cuntz-Krieger algebras arising from real quadratic mapsNuno Martins0Ricardo Severino1J. Sousa Ramos2Departamento de Matemática, Instituto Superior Técnico, Lisboa 1049-001, PortugalDepartamento de Matemática, Universidade do Minho, Braga 4710-057, PortugalDepartamento de Matemática, Instituto Superior Técnico, Lisboa 1049-001, PortugalWe compute the K-groups for the Cuntz-Krieger algebras 𝒪A𝒦(fμ), where A𝒦(fμ) is the Markov transition matrix arising from the kneading sequence 𝒦(fμ) of the one-parameter family of real quadratic maps fμ.http://dx.doi.org/10.1155/S0161171203209236
spellingShingle Nuno Martins
Ricardo Severino
J. Sousa Ramos
K-theory for Cuntz-Krieger algebras arising from real quadratic maps
International Journal of Mathematics and Mathematical Sciences
title K-theory for Cuntz-Krieger algebras arising from real quadratic maps
title_full K-theory for Cuntz-Krieger algebras arising from real quadratic maps
title_fullStr K-theory for Cuntz-Krieger algebras arising from real quadratic maps
title_full_unstemmed K-theory for Cuntz-Krieger algebras arising from real quadratic maps
title_short K-theory for Cuntz-Krieger algebras arising from real quadratic maps
title_sort k theory for cuntz krieger algebras arising from real quadratic maps
url http://dx.doi.org/10.1155/S0161171203209236
work_keys_str_mv AT nunomartins ktheoryforcuntzkriegeralgebrasarisingfromrealquadraticmaps
AT ricardoseverino ktheoryforcuntzkriegeralgebrasarisingfromrealquadraticmaps
AT jsousaramos ktheoryforcuntzkriegeralgebrasarisingfromrealquadraticmaps