OPERATOR VALUED WEIGHTS IN VON NEUMANN ALGEBRAS .2.

被引：115

作者：

HAAGERUP, U

机构：

[1] Matematisk Institut, Odense Universitet, DK-5230 Odense M, Niels Bohrs Allé

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 1979年 / 33卷 / 03期

关键词：

D O I：

10.1016/0022-1236(79)90072-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let M be a von Neumann algebra, and N a sub von Neumann algebra of M. We prove that if φ and ψ are n.f.s. weights on N and M respectively, such that σtψ extends σtφ, then there is a unique n.f.s. operator valued weight T from M to N, such that ψ = φ {ring operator} T. Moreover we generalize the notion of modular automorphism groups associated with conditional expectations to operator valued weights. © 1979.

引用

页码：339 / 361

页数：23

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