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KMS-bundles with multiple parameters on Z-absorbing C*-algebras

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  • UserYasuhiko Sato (Kyushu University)
  • ClockFriday 18 July 2025, 10:25-10:45
  • HouseExternal.

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TGAW02 - C*-algebras: classification and dynamical constructions

To realize all possible KMS -bundles with multiple parameters on the Jiang–Su algebra, we construct an action of a free group on a (non-simple) rational approximately finite-dimensional (RAF) algebra. This construction constitutes an application of the current classification theory for simple Z-absorbing C-algebras. In this setting, it is natural to consider actions of non-amenable groups and to address the classification theory of non-simple C-algebras, which I will discuss in my talk. We also investigate a generalization of the correspondence between KMS states of crossed products and tracial states of the underlying C*-algebra, in the case of dynamical systems arising from actions of non-abelian groups with a certain weak Rohlin property.

This talk is part of the Isaac Newton Institute Seminar Series series.

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