394
0
Full metadata record
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | 허재성 | - |
| dc.date.accessioned | 2018-03-15T16:17:45Z | - |
| dc.date.available | 2018-03-15T16:17:45Z | - |
| dc.date.issued | 2014-01 | - |
| dc.identifier.citation | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 409(1), P.544-555 | en_US |
| dc.identifier.issn | 0022-247X | - |
| dc.identifier.uri | https://www.sciencedirect.com/science/article/pii/S0022247X13006860 | - |
| dc.identifier.uri | http://hdl.handle.net/20.500.11754/47520 | - |
| dc.description.abstract | In this paper, we study (covariant) alpha-completely positive maps on group systems. We first introduce a notion of alpha-completely positive maps of groups into (locally) C*-algebras and show that bounded alpha-completely positive maps on discrete groups induce alpha-completely positive linear maps on group C*-algebras. We establish the (covariant) KSGNS type representation theorem for (covariant) alpha-completely positive maps of group systems into locally C*-algebras. These constructions provide a projective covariant J-representation of a group system into a locally C*-algebra. (C) 2013 Elsevier Inc. All rights reserved. | en_US |
| dc.description.sponsorship | A part of this research was carried out while the author was visiting the Korean Institute for Advanced Study (KIAS). He is grateful to professors and the staff in the KIAS for their warm hospitality. He would also like to thank the referee for careful reading of the manuscript and for pointing out some of them which necessitated corrections in an earlier version of this paper.This research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (2013006537). | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | en_US |
| dc.subject | (Covariant) alpha-completely positive map on groups | en_US |
| dc.subject | J-representation | en_US |
| dc.subject | Group system | en_US |
| dc.subject | Locally C*-algebra | en_US |
| dc.subject | Krein module over locally C*-algebras | en_US |
| dc.subject | Projective isometric J-representation | en_US |
| dc.subject | C-ASTERISK-ALGEBRAS | en_US |
| dc.subject | TENSOR | en_US |
| dc.title | alpha-completely positive maps of group systems and Krein module representations | en_US |
| dc.type | Article | en_US |
| dc.relation.no | 1 | - |
| dc.relation.volume | 409 | - |
| dc.identifier.doi | 10.1016/j.jmaa.2013.07.047 | - |
| dc.relation.page | 544-555 | - |
| dc.relation.journal | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | - |
| dc.contributor.googleauthor | Heo, Jaeseong | - |
| dc.relation.code | 2014033739 | - |
| dc.sector.campus | S | - |
| dc.sector.daehak | COLLEGE OF NATURAL SCIENCES[S] | - |
| dc.sector.department | DEPARTMENT OF MATHEMATICS | - |
| dc.identifier.pid | hjs | - |
- Appears in Collections:
- COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
- Files in This Item:
There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.
