Banach Algebra Dynamical Systems  

作　　者：Dong LI Shengzhi XU 

机构地区：[1]Department of Mathematics,Fudan University

出　　处：《Chinese Annals of Mathematics,Series B》2014年第2期285-300,共16页数学年刊（B辑英文版）

基　　金：supported by the National Natural Science Foundation of China(No.10971023);the Shanghai Natural Science Foundation of China(No.09ZR1402000)

摘　　要：Abstract This paper generalizes the C＊-dynamical system to the Banach algebra dynam- ical system （A, G, α） and define the crossed product A αG of a given Banach algebra dynamical system （A, G,α）. Then the representation of A α G is described when A ad- mits a bounded left approximate identity. In a natural way, the authors define the reduced crossed product A αG and discuss the question when A α G coincides with A αG.

关 键 词：Banach algebra dynamical systems REPRESENTATION Crossed product Left multiplier Reduced crossed product 

分 类 号：O177.2[理学—数学]