Non-simple rational dimension groups and rationally AF algebras
Yasuhiko Sato (Kyushu University)
8:00-9:00,July 31,2023 文附楼 (Wenfu Building) 219
Abstract:
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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