Perron-Frobenius operators and representations of the Cuntz-Krieger algebras for infinite matrices

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dc.creatorGoncalves, Daniel
dc.creatorRoyer, Danilo
dc.date2008-08-06
dc.date.accessioned2026-07-07T09:55:02Z
dc.date.available2026-07-07T09:55:02Z
dc.descriptionIn this paper we extend work of Kawamura, see kawamura, for Cuntz-Krieger algebras O_A for infinite matrices A. We generalize the definition of branching systems, prove their existence for any given matrix A and show how they induce some very concrete representations of O_A. We use these representations to describe the Perron-Frobenius operator, associated to an nonsingular transformation, as an infinite sum and under some hypothesis we find a matrix representation for the operator. We finish the paper with a few examples.
dc.description16 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/0808.0835
dc.identifierhttp://arxiv.org/abs/0808.0835
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/166535
dc.subjectOperator Algebras
dc.subjectDynamical Systems
dc.subject47L99
dc.titlePerron-Frobenius operators and representations of the Cuntz-Krieger algebras for infinite matrices
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