Local 3-cocycles of von Neumann algebras

被引：2

作者：

Hou, Cheng-jun ^{[1
]}

Fu, Ben-yin

机构：

[1] Qufu Normal Univ, Sch Mat, Qufu 273165, Peoples R China

[2] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China

来源：

SCIENCE IN CHINA SERIES A-MATHEMATICS | 2007年 / 50卷 / 09期

基金：

中国国家自然科学基金;

关键词：

von Neumann algebra; dual bimodule; local; 3-cocycle; OPERATOR ALGEBRAS; COHOMOLOGY;

D O I：

10.1007/s11425-007-0060-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that every local 3-cocycle of a von Neumann algebra R into an arbitrary unital dual R-bimodule S is a 3-cocycle.

引用

页码：1240 / 1250

页数：11

共 5 条

[1]

JOHNSON BE, 1972, B SOC MATH FR, V100, P73

KADISON, RV ;

RINGROSE, JR .

ARKIV FOR MATEMATIK, 1971, 9 (01) :55-&

[3] LOCAL DERIVATIONS [J].

KADISON, RV .

[4]

Larson D.R., 1990, P S PURE MATH 2, V51, P187, DOI DOI 10.1090/PSPUM/051.2/1077437

[5]

[Zhang Jianhua 张建华], 2002, Applied Mathematics. Series B, A Journal of Chinese Universities, V17, P284