On notion of asymptotic derivations
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Heo, Jaeseong | - |
dc.date.accessioned | 2022-07-16T16:49:16Z | - |
dc.date.available | 2022-07-16T16:49:16Z | - |
dc.date.created | 2021-05-12 | - |
dc.date.issued | 2012-02 | - |
dc.identifier.issn | 0025-584X | - |
dc.identifier.uri | https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/166355 | - |
dc.description.abstract | In this paper we introduce some notion of asymptotic derivations of a C*- and W*-dynamical systems which naturally arises from a one-parameter group of automorphisms. We show that an asymptotic derivation on a unital simple C*-algebra or a von Neumann algebra is asymptotically inner. Every asymptotic derivation on finite dimensional C*-algebras is induced by an inner derivation. We prove that any asymptotic derivation on commutative von Neumann algebras have a strong limit zero. An asymptotic derivation on the hyperfinite II1-factor given by some one-parameter group of automorphisms can be induced by a (inner) derivation. Finally, we show that every asymptotic Jordan derivation of a C*-dynamical system is an asymptotic derivation and is also induced by a derivation if there exists a limit. | - |
dc.language | 영어 | - |
dc.language.iso | en | - |
dc.publisher | WILEY-BLACKWELL | - |
dc.title | On notion of asymptotic derivations | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Heo, Jaeseong | - |
dc.identifier.doi | 10.1002/mana.201010003 | - |
dc.identifier.scopusid | 2-s2.0-84856449108 | - |
dc.identifier.wosid | 000299691400011 | - |
dc.identifier.bibliographicCitation | MATHEMATISCHE NACHRICHTEN, v.285, no.2-3, pp.252 - 264 | - |
dc.relation.isPartOf | MATHEMATISCHE NACHRICHTEN | - |
dc.citation.title | MATHEMATISCHE NACHRICHTEN | - |
dc.citation.volume | 285 | - |
dc.citation.number | 2-3 | - |
dc.citation.startPage | 252 | - |
dc.citation.endPage | 264 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.isOpenAccess | N | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordAuthor | Derivations | - |
dc.subject.keywordAuthor | one-parameter group of automorphisms | - |
dc.subject.keywordAuthor | asymptotic derivations | - |
dc.subject.keywordAuthor | Jordan derivation | - |
dc.subject.keywordAuthor | MSC (2010) Primary: 46L57 | - |
dc.subject.keywordAuthor | Secondary: 47D03 | - |
dc.identifier.url | https://onlinelibrary.wiley.com/doi/10.1002/mana.201010003 | - |
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