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.
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)
文摘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.
