An axiomatization of the lattice of higher relative commutants of a subfactor
An axiomatization of the lattice of higher relative commutants of a subfactor
复制标题
子因子的高级相对交换子格的公理化
DOI：
10.1007/bf01241137
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发表时间：
1995
影响因子：
3.1
通讯作者：
S. Popa
中科院分区：
文献类型：
--
作者：
S. Popa
摘要考虑了可交换平方的抽象格的某些条件，证明了这些条件是产生子因子的高相对交换子格的充分必要条件。我们称这些格为标准格，并利用这一公理化来证明它们的子格也是标准格。我们考虑了一种产生子因子的方法，并由此和[Po5]|推导出二部图是子因子图的若干准则。
SummaryWe consider certain conditions for abstract lattices of commuting squares, that we prove are necessary and sufficient for them to arise as lattices of higher relative commutants of a subfactor. We call such lattices standard and use this axiomatization to prove that their sublattices are standard too. We consider a method for producing sublatties and deduce from this and [Po5]| some criteria for bipartite graphs to be graphs of subfactors.