Covariant completely positive linear maps between locally C*-algebras

被引：0

作者：

Joita, Maria ^{[1
]}

机构：

[1] Univ Bucharest, Fac Chem, Dept Math, Bucharest, Romania

来源：

HOUSTON JOURNAL OF MATHEMATICS | 2007年 / 33卷 / 04期

关键词：

locally C*-algebras; Hilbert modules over locally C*-algebras; locally C*-dynamical system; covaxiant completely positive linear maps; KGNS; (Kasparov; Stine-spring; Gel'fand; Naimark; Segal); construction;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a covariant version of the KSGNS (Kasparov, Stinespring, Gel'fand,Nalmark,Segal) construction for completely positive linear maps between locally C*-algebras. As an application of this construction, we show that a covariant completely positive linear map p from a locally C*-algebra A to another locally C* -algebra B with respect to a locally C*-dynamical system (G, A, alpha) extends to a completely positive linear map on the crossed product A x(alpha)G.

引用

页码：1067 / 1078

页数：12

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