Cartan双模代数间的σ-弱连续等距代数同构

σ WEAKLY CONTINUOUS ISOMETRIC ISOMORPHISM OF CARTAN BIMODULE ALGEBRAS

本文证明了自伴部分是正常ｖＮ子代数的Ｃａｒｔａｎ双模代数间的σ－弱连续等距代数同构可以扩张成其生成ｖＮ代数间＊－同构．

It is proved that σ weakly continuous isometric isomorphism between Cartan bimodule algebras whose self adjoint parts are normal vN subalgebra can extend to a * isomorphism of their generated vN algebras.