论文标题
K理论分类融合类别对AF-Elgebras的归纳极限动作
K-theoretic classification of inductive limit actions of fusion categories on AF-algebras
论文作者
论文摘要
我们为单一融合类别的unital c* - 代数介绍了K理论不变。我们表明，对于融合类别对Unital AF-Elgebras的有限维度作用的归纳限制，这是一个完全不变的。特别是，这为有限群体在AF-Elgebras上的归纳极限作用提供了完全的不变。我们应用结果来获得有限深度的分类，非常强烈的Unital AF-Elgebras的AF-INCLUSION。
We introduce a K-theoretic invariant for actions of unitary fusion categories on unital C*-algebras. We show that for inductive limits of finite dimensional actions of fusion categories on unital AF-algebras, this is a complete invariant. In particular, this gives a complete invariant for inductive limit actions of finite groups on AF-algebras. We apply our results to obtain a classification of finite depth, strongly AF-inclusions of unital AF-algebras.
