On finiteness of the set of intermediate subfactors期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

On finiteness of the set of intermediate subfactors

Authors:	M. Khoshkam B. Mashood

Affiliation:	Department of Mathematics and Statistics, University of Saskatchewan, 106 Wiggins Road, Saskatoon, Saskatchewan, Canada S7N 5E6 B. Mashood ; Department of Mathematics and Statistics, University of Saskatchewan, 106 Wiggins Road, Saskatoon, Saskatchewan, Canada S7N 5E6

Abstract:	For type factors with , we show that the sets $mathcal{L}_1={Min mathcal{L}(Nsubset L)colon N'cap L subset M}$ and $mathcal{L}_2={Min mathcal{L}(Nsubset L)colon N'cap L =M'cap L}$ are finite. Moreover, , the set of intermediate subfactors, is finite if and only if it is equal to $mathcal{L}_1cup mathcal{L}_2$ . If is an irreducible subfactor, then we recover a result of Y. Watatani.

Keywords:	Subfactors von Neumann algebras Jones index lattice relative commutants

	点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息
	点击此处可从《Proceedings of the American Mathematical Society》下载全文