Local 3-cocycles of von Neumann algebras  

作　　者：Cheng-jun HOU~(1+) Ben-yin FU~2 1 School of Mathematical Sciences,Qufu Normal University,Qufu 273165,China 2 School of Mathematical Sciences,Fudan University,Shanghai 200433,China 

出　　处：《Science China Mathematics》2007年第9期1240-1250,共11页中国科学：数学（英文版）

基　　金：This work was partially supported by the National Natural Science Foundation of China (Grant Nos.10201007 and A0324614);the Natural Science Foundation of Shandong Province (Grant No.Y2006A03)

摘　　要：We show that every local 3-cocycle of a von Neumann algebra $\mathcal{R}$ into an arbitrary unital dual $\mathcal{R}$ -bimodule $\mathcal{S}$ is a 3-cocycle.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.

关 键 词：von Neumann algebra dual bimodule local 3-cocycle 3-cocycle 46L10 

分 类 号：O153[理学—数学]