FAITHFUL REPRESENTATIONS OF CROSSED-PRODUCTS BY ENDOMORPHISMS

被引：36

作者：

BOYD, S

KESWANI, N

RAEBURN, I

机构：

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1993年 / 118卷 / 02期

关键词：

C-ASTERISK-ALGEBRA; ENDOMORPHISM; COVARIANT REPRESENTATION; CROSSED PRODUCT; SIMPLE C-ASTERISK-ALGEBRA;

D O I：

10.2307/2160319

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Stacey has recently characterised the crossed product A x(alpha) N of a C*-algebra A by an endomorphism alpha as a C*-algebra whose representations are given by covariant representations of the system (A, alpha). Following work of O'Donovan for automorphisms, we give conditions on a covariant representation (pi, S) of (A, alpha) which ensure that the corresponding representation pi x S of A x(alpha) N is faithful. We then use this result to improve a theorem of Paschke on the simplicity of A x(alpha) N.

引用

页码：427 / 436

页数：10