Aarhus University Seal / Aarhus Universitets segl

KMS states for Excel-Laca algebras revisited

Jean Renault (Université d'Orléans)
Tuesday, 11 September, 2018, at 10:00-11:00, (1530 - 326) QGM Loungen
In 1999, Exel and Laca have defined Cuntz-Krieger algebras for infinite matrices and then studied some classes of KMS states on these algebras. Recently, Exel and his collaborators have compared the operator algebraic framework with the classical thermodynamical formalism for countable Markov shifts. In particular, they show the existence of conformal measures which are not detected by the classical theory. I will present their results using a groupoid approach.
Contact person: Johannes Christensen