THE KSGNS CONSTRUCTION ASSOCIATED WITH A PROJECTIVE u-COVARIANT COMPLETELY POSITIVE LINEAR MAP

被引：0

作者：

Costache, Tania-Luminita ^{[1
]}

机构：

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

来源：

UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS | 2013年 / 75卷 / 02期

关键词：

Hilbert C*-modules; C*-algebras; C*-dynamical systems; KSGNS construction; projective unitary representations; projective covariant representations; projective u-covariant completely positive linear maps; twisted crossed products; C-ASTERISK-MODULES; HILBERT MODULES; REPRESENTATIONS; 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 prove a covariant projective. version of the Stinespring theorem in terms of Hilbert C*-modules. We also present an extension of a projective u-covariant completely positive linear map on the twisted crossed product A x (omega)(alpha) G to a unique completely positive linear map in the case of locally compact groups and discrete groups. The main result of the paper is the KSGNS construction associated with a projective u-covariant completely positive linear map.

引用

页码：11 / 20

页数：10

共 19 条

[1] 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
[2] 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
[3] 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
[4] Extensions on twisted crossed products of completely positive invariant projective u-covariant multi-linear maps
Costache, Tania-Luminita
[J]. BSG PROCEEDINGS 17 - PROCEEDINGS OF THE INTERNATIONAL CONFERENCE OF DIFFERENTIAL GEOMETRY AND DYNAMICAL SYSTEMS (DGDS-2009), 2010, : 56 - 67
[5] Extensions on twisted crossed products of completely positive invariant projective u-covariant multi-linear maps
Costache, Tania-Luminita
[J]. BSG PROCEEDINGS 17, 2010, 17 : 56 - 67
[6] KSGNS TYPE REPRESENTATIONS ON KREIN C*-MODULES ASSOCIATED WITH PROJECTIVE J- COVARIANT (α) - COMPLETELY POSITIVE MAPS
Costache, Tania-Luminita
[J]. UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2015, 77 (02): : 67 - 78
[7] 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
[8] Multilinear completely bounded projective u-covariant maps extended on twisted crossed products
Costache, Tania-Luminita
[J]. RECENT ADVANCES IN MATHEMATICS AND COMPUTERS IN BUSINESS, ECONOMICS, BIOLOGY & CHEMISTRY, 2010, : 54 - +
[9] Modules, completely positive maps, and a generalized KSGNS construction
Juha-Pekka Pellonpää
Kari Ylinen
[J]. Positivity, 2011, 15 : 509 - 525
[10] Modules, completely positive maps, and a generalized KSGNS construction
Pellonpaa, Juha-Pekka
Ylinen, Kari
[J]. POSITIVITY, 2011, 15 (03) : 509 - 525

← 1 2 →