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C*-álgebras associadas a certas dinâmicas e seus estados KMS

Abstract : First, we study three ways of associating a C*-algebra to a continuous map. Then, we give a new definitionof entropy. We relate the KMS states of the previously defined algebras with the equilibrium states, givenby a variational principle. In the second part, we study the Kajiwara-Watatani algebras associated toiterated function system. We compare these algebras with the Cuntz algebra and the crossed product.Finally, we study the KMS states of the Kajiwara-Watatani algebras for actions coming from a potentialand we relate such states with measures found in a version of the Ruelle-Perron-Frobenius theorem foriterated function systems.
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  • HAL Id : tel-00541042, version 1

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Gilles de Castro. C*-álgebras associadas a certas dinâmicas e seus estados KMS. General Mathematics [math.GM]. Université d'Orléans, 2009. Portuguese. ⟨NNT : 2009ORLE2074⟩. ⟨tel-00541042⟩

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