Interval maps from Cuntz-Krieger algebras

Markov interval maps f naturally produce transition aperiodic 0–1 matrices with extra features. We characterize the 0–1 matrices that can be realized as Markov transition matrices of interval maps, and parametrize the orbit representations (yielded in Correia Ramos et al. (2008) [2]) of the Cuntz–Kr...

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Detalhes bibliográficos
Autor principal: Correia Ramos, Carlos (author)
Outros Autores: Martins, Nuno (author), Pinto, Paulo (author)
Formato: article
Idioma:eng
Publicado em: 2012
Assuntos:
Texto completo:http://hdl.handle.net/10174/3915
País:Portugal
Oai:oai:dspace.uevora.pt:10174/3915
Descrição
Resumo:Markov interval maps f naturally produce transition aperiodic 0–1 matrices with extra features. We characterize the 0–1 matrices that can be realized as Markov transition matrices of interval maps, and parametrize the orbit representations (yielded in Correia Ramos et al. (2008) [2]) of the Cuntz–Krieger algebra OA obtained from interval maps with the same matrix A.