Pro-Banach代数诱导交叉积

Pro-banach reduced crossed products

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.