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dc.contributor.author허재성-
dc.date.accessioned2018-03-15T16:17:45Z-
dc.date.available2018-03-15T16:17:45Z-
dc.date.issued2014-01-
dc.identifier.citationJOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 409(1), P.544-555en_US
dc.identifier.issn0022-247X-
dc.identifier.urihttps://www.sciencedirect.com/science/article/pii/S0022247X13006860-
dc.identifier.urihttp://hdl.handle.net/20.500.11754/47520-
dc.description.abstractIn 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.sponsorshipA 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.isoenen_US
dc.publisherACADEMIC PRESS INC ELSEVIER SCIENCEen_US
dc.subject(Covariant) alpha-completely positive map on groupsen_US
dc.subjectJ-representationen_US
dc.subjectGroup systemen_US
dc.subjectLocally C*-algebraen_US
dc.subjectKrein module over locally C*-algebrasen_US
dc.subjectProjective isometric J-representationen_US
dc.subjectC-ASTERISK-ALGEBRASen_US
dc.subjectTENSORen_US
dc.titlealpha-completely positive maps of group systems and Krein module representationsen_US
dc.typeArticleen_US
dc.relation.no1-
dc.relation.volume409-
dc.identifier.doi10.1016/j.jmaa.2013.07.047-
dc.relation.page544-555-
dc.relation.journalJOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS-
dc.contributor.googleauthorHeo, Jaeseong-
dc.relation.code2014033739-
dc.sector.campusS-
dc.sector.daehakCOLLEGE OF NATURAL SCIENCES[S]-
dc.sector.departmentDEPARTMENT OF MATHEMATICS-
dc.identifier.pidhjs-
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COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
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