Non-simple rational dimension groups and rationally AF algebras

Yasuhiko Sato  (Kyushu University)

8:00-9:00,July 31,2023   ĸ¥ (Wenfu Building) 219


In order to construct an unbounded KMS-bundle on a certain classifiable C*- algebra, relevant to the Jiang-Su algebra, it was necessary to study non-simple nuclear C*- algebras and their classification theorems. In my talk, I will introduce a class of ordered abelian groups known as rational dimension groups, and investigate the relationship between the non-simplicity of rational dimension groups and the unboundedness of KMS-bundles. This observation will be also realized at the level of C*-dynamical systems, leading to the invariant for the classification of ows on rationally AF algebras.

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