Perturbations of Von Neumann Subalgebras With Finite Index

被引：1

作者：

Ino, Shoji ^{[1
]}

机构：

[1] Kyushu Univ, Dept Math Sci, Fukuoka 8190395, Japan

来源：

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 2016年 / 59卷 / 02期

关键词：

von Neumann algebras; perturbations; ALGEBRAS; INCLUSIONS;

D O I：

10.4153/CMB-2015-081-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study uniform perturbations of von Neumann subalgebras of a von Neumann algebra. Let M and N be von Neumann subalgebras of a von Neumann algebra with finite probabilistic index in the sense of Pimsner and Popa. If M and N are sufficiently close, then M and N are unitarily equivalent. The implementing unitary can be chosen as being close to the identity.

引用

页码：320 / 325

页数：6

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