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Classification of certain inductive limit actions of compact groups on AF algebras
International Journal of Mathematics ( IF 0.6 ) Pub Date : 2020-11-21 , DOI: 10.1142/s0129167x20501281
Qingyun Wang 1
Affiliation  

Let [Formula: see text] be an AF algebra, [Formula: see text] be a compact group. We consider inductive limit actions of the form [Formula: see text], where [Formula: see text] is an action on the finite-dimensional C*-algebra [Formula: see text] which fixes each matrix summand. We give a complete classification up to conjugacy of such actions using twisted equivariant K-theory.

中文翻译:

AF代数上紧群的某些归纳极限作用的分类

令 [Formula: see text] 为 AF 代数, [Formula: see text] 为紧群。我们考虑 [Formula: see text] 形式的归纳极限动作,其中 [Formula: see text] 是对固定每个矩阵求和的有限维 C*-algebra [Formula: see text] 的动作。我们使用扭曲等变 K 理论对此类动作的共轭性进行了完整分类。
更新日期:2020-11-21
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