Cartan双模代数上的局部导子

LOCAL DERIVATIONS ON CARTAN BIMODULE ALGEBRAS

设Ａ是具有Ｃａｒｔａｎ子代数Ｄ的ｖｏｎＮｅｕｍａｎｎ代数Ｂ中的Ｃａｒｔａｎ双模代数，Ｍ是Ｂ中含Ａ的σ－弱闭的Ａ－双模。

If A is a Cartan bimodule algebra of a von Neumann algebra B with Cartan subalgebra D,M is a σ weakly closed A bimodule containing A in B, then every local derivation from A into M is a derivation.