CLASSES OF CONDITIONAL EXPECTATIONS OVER VONNEUMANN-ALGEBRAS

被引：7

作者：

CECCHINI, C ^{[1
]}

PETZ, D ^{[1
]}

机构：

[1] HUNGARIAN ACAD SCI,INST MATH,H-1364 BUDAPEST,HUNGARY

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 1990年 / 92卷 / 01期

关键词：

D O I：

10.1016/0022-1236(90)90065-S

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let N ⊂ M be von Neumann algebras and Eω: M → N an ω-conditional expectation mapping. For a state ψ of N an extension \ ̃gyE of ψ with respect to Eω is described. The relation Eω ~ Eθ{symbol} defined to hold if \ ̃gyE = \ ̃gyE for every ψ is an equivalence relation. The family of equivalence classes possesses an affine structure and shows analogy with the normal state space of a von Neumann algebra. © 1990.

引用

页码：8 / 29

页数：22

共 11 条

[1] TOPICS IN QUANTUM PROBABILITY [J].