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 35 条

[1] Ksgns type representations on krein c.-modules associated with projective j-covariant (α)-completely positive maps
Costache, Tania-Luminita
[J]. UPB Scientific Bulletin, Series A: Applied Mathematics and Physics, 2015, 77 (02): : 67 - 78
[2] KSGNS Type Constructions for α-Completely Positive Maps on Krein C*-Modules
Moslehian, Mohammad Sal
Joita, Maria
Ji, Un Cig
[J]. COMPLEX ANALYSIS AND OPERATOR THEORY, 2016, 10 (03) : 617 - 638
[3] On KSGNS representations on Krein C*-modules
Heo, Jaeseong
Hong, Jang Pyo
Ji, Un Cig
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2010, 51 (05)
[4] PROJECTIVE J-REPRESENTATIONS ASSOCIATED WITH PROJECTIVE u-COVARIANT (α)-COMPLETELY POSITIVE LINEAR MAPS AND THEIR CORRESPONDING ρ-MAPS
Costache, Tania-Luminita
[J]. UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2019, 81 (04): : 11 - 24
[5] Projective j-representations associated with projective u-covariant (α)-completely positive linear maps and their corresponding ρ-maps
Costache, Tania-Luminiţa
[J]. UPB Scientific Bulletin, Series A: Applied Mathematics and Physics, 2019, 81 (04): : 11 - 24
[6] Covariant representations on Krein C*-modules associated to pairs of two maps
Heo, Jaeseong
Ji, Un Cig
Kim, Young Yi
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 398 (01) : 35 - 45
[7] ON THE PROJECTIVE COVARIANT REPRESENTATIONS OF C*-DYNAMICAL SYSTEMS ASSOCIATED WITH COMPLETELY MULTI-POSITIVE PROJECTIVE u-COVARIANT MAPS
Costache, Tania-Luminita
[J]. UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2010, 72 (04): : 185 - 196
[8] Modules, completely positive maps, and a generalized KSGNS construction
Pellonpaa, Juha-Pekka
Ylinen, Kari
[J]. POSITIVITY, 2011, 15 (03) : 509 - 525
[9] Modules, completely positive maps, and a generalized KSGNS construction
Juha-Pekka Pellonpää
Kari Ylinen
[J]. Positivity, 2011, 15 : 509 - 525
[10] THE KSGNS CONSTRUCTION ASSOCIATED WITH A PROJECTIVE u-COVARIANT COMPLETELY POSITIVE LINEAR MAP
Costache, Tania-Luminita
[J]. UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2013, 75 (02): : 11 - 20

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