摘要
In this note, we give complete descriptions of the structure of the monotone product of two yon Neumann algebras and two C^＊-algebras. We show that the monotone product of two simple yon Neumann algebras and C^＊-algebras aren＇t simple again. We also show that the monotone product of two hyperfinite yon Neumann algebras is again hyperfinite and determine the type of the monotone product of two factors.
In this note, we give complete descriptions of the structure of the monotone product of two yon Neumann algebras and two C^＊-algebras. We show that the monotone product of two simple yon Neumann algebras and C^＊-algebras aren＇t simple again. We also show that the monotone product of two hyperfinite yon Neumann algebras is again hyperfinite and determine the type of the monotone product of two factors.
基金
the Youth Foundation of Sichuan Education Department(China)(2003B017)
the National Natural Science Foundation of China(10301004)
