On Monotone Product of Operator Algebras  

作　　者：Wen Ming WU Li Guang WANG 

机构地区：[1]Department of Mathematical Science, University of Tsinghua, Beijing 100084, P. R. China [2]Department of Mathematics, Qufu Normal University, Qufu 273165, P. R. China

出　　处：《Acta Mathematica Sinica,English Series》2007年第3期491-496,共6页数学学报（英文版）

基　　金：the Youth Foundation of Sichuan Education Department(China)(2003B017);the National Natural Science Foundation of China(10301004)

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.

关 键 词：FACTOR von Neumann algebras monotone product C^＊-algebras GNS construction 

分 类 号：O177[理学—数学] O151.2[理学—基础数学]