KSGNS TYPE REPRESENTATIONS ON KREIN C*-MODULES ASSOCIATED WITH PROJECTIVE J- COVARIANT (α) - COMPLETELY POSITIVE MAPS

被引：0

作者：

Costache, Tania-Luminita ^{[1
]}

机构：

[1] Univ Politehn Bucuresti, Fac Sci Appl, Dept Math Methods & Models, Bucharest 060042, Romania

来源：

UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS | 2015年 / 77卷 / 02期

关键词：

Hilbert C*- modules; Krein C*- modules; C*- algebras; C*- dynamical systems; J-; representations; projective J- unitary representations; projective covariant J- representations; projective J- covariant completely alpha- positive linear maps; crossed products; LINEAR-MAPS; ALGEBRAS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we construct a projective covariant J-representation associated to a unital projective covariant completely positive linear map. We give the projective covariant version of KSGNS type representation on a Krein C* -module associated to a unital projective covariant alpha-completely positive map and then we prove that there is a projective covariant J-representation of a crossed product of a C* -algebra by a locally compact group.

引用

页码：67 / 78

页数：12

共 20 条

[1]

Arveson WB., 1969, Acta Math., V123, P141

[2]

Costache TL, 2013, U POLITEH BUCH SER A, V75, P11

[3]

Costache TL, 2010, B MATH SOC SCI MATH, V53, P109

[4] Naturality and induced representations [J].