Classification of approximately inner automorphisms of subfactors
Classification of approximately inner automorphisms of subfactors
复制标题
子因子近似内自同构的分类
DOI：
10.1007/s002080050083
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发表时间：
1997
影响因子：
1.4
通讯作者：
Yasuyuki Kawahigashi
中科院分区：
文献类型：
--
作者：
Yasuyuki Kawahigashi
对于子因子的近似内自同构的分类，我们引入了一个新的不变量，一个更高的障碍。从代数的观点来看，这可以被看作是Connes阻塞的推广，从分析的观点来看，这可以被看作是Jones不变量κ的推广。我们有两个分类定理的近似内自同构的强顺从子因子与已知的不变量和这个新的。特别是，我们的定理给出了指数小于4的II 1型AFD子因子的自同构（直到外共轭）的完整分类，除了A4 n-1和E6的一个特殊情况。
For classification of approximately inner automorphisms of subfactors, we introduce a new invariant, a higher obstruction. From an algebraic viewpoint, this can be regarded as a generalization of the Connes obstruction, and from an analytic viewpoint, this can be regarded as a generalization of the Jones invariant κ. We have two classification theorems for approximately inner automorphisms of strongly amenable subfactors with known invariants and this new one. In particular, our theorems give a complete classification of automorphisms, up to outer conjugacy, of AFD subfactors of type II1 with index less than four except for one special case for A4n− 1 and E6.