Perturbations of Von Neumann Subalgebras with Finite Index

Canadian mathematical bulletin

Shoji Ino¹ 

[1] Department of Mathematical Sciences, Kyushu University, Motooka, Fukuoka, 819-0395, Japan

关键词: von Neumann algebras;    perturbations;   

DOI  :  10.4153/CMB-2015-081-8

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

In this paper, we study uniform perturbations of von Neumannsubalgebras of a von Neumann algebra. Let $M$ and $N$ be von Neumann subalgebras of a von Neumann algebrawith finite probabilistic index in the sense of Pimsner-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 theidentity.

【 授权许可】

Unknown