Continuous derivations on *-algebras of τ-measurable operators are inner

被引：4

作者：

Ber, A. F. ^{[1
]}

机构：

[1] DCF Technol Ltd, Tashkent, Uzbekistan

来源：

MATHEMATICAL NOTES | 2013年 / 93卷 / 5-6期

关键词：

von Neumann algebra; properly infinite; tau-measurable operator; continuous derivation;

D O I：

10.1134/S0001434613050027

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is proved that every continuous derivation on the *-algebra S(M, tau) of all tau-measurable operators affiliated with a von Neumann algebra M is inner. For every properly infinite von Neumann algebra M, any derivation on the *-algebra S(M, tau) is inner.

引用

页码：654 / 659

页数：6

共 12 条

[1] Structure of derivations on various algebras of measurable operators for type I von Neumann algebras [J].