Pro-Banach代数诱导交叉积  

Pro-banach reduced crossed products

作　　者：黄利忠[1] HUANG Lizhong(Institute of Quantum Information Science,Shanxi Datong University,Shanxi Datong 037009,China)

机构地区：[1]山西大同大学量子信息科学研究所

出　　处：《南昌大学学报（理科版）》2019年第2期111-113,119,共4页Journal of Nanchang University(Natural Science)

基　　金：国家自然科学基金资助项目(11301312);大同市科技计划项目(2018151);山西大同大学博士科研项目(2015-B-09)

摘　　要：以具有有界左逼近单位元的pro-Banach代数,局部紧群及群在代数上强连续作用为基础,定义了pro-Ba-nach代数动力系统及与之相关的pro-Banach交叉积和pro-Banach诱导交叉积,并且证明了在紧群条件下,pro-Banach交叉积和pro-Banach诱导交叉积是同构的。The definitions of pro-Banach algebra dynamcial systems,pro-Banach crossed products and pro-Banach algebra reduced crossed products were introduced based on the concepts ofpro-Banach algebras with a bounded approximate left identity,the locally compact groups and thestrong continuous actions of group on pro-Banach algebra.It was proved that the pro-Banach crossed product algebras and the pro-Banach reduced crossed product algebras associated with the given pro-Banach algebra dynamical systems are isomorphic when the group is compact.

关 键 词：Pro-Banach代数 交叉积 诱导交叉积 紧群 

分 类 号：O177.1[理学—数学]