离散Kac代数在内射因子上作用的分类
Classification of actions of discrete Kac algebras on injective factors
摘要：
我们将研究离散顺从Kac代数的两种作用。第一个是模部分为正规的动作。我们将构造一个新的不变量，它推广了离散群作用的特征不变量，并给出了一个完整的分类。第二种是中央自由行动。通过在渐近中心化子中构造一个Rohlin塔，我们将证明Connes-Takesaki模是完全不变量。
英文摘要：
We will study two kinds of actions of a discrete amenable Kac algebra. The first one is an action whose modular part is normal. We will construct a new invariant which generalizes a characteristic invariant for a discrete group action, and we will present a complete classification. The second is a centrally free action. By constructing a Rohlin tower in an asymptotic centralizer, we will show that the Connes-Takesaki module is a complete invariant.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
