Monic representations of finite higher-rank graphs
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Farsi, C. | - |
dc.contributor.author | Gillaspy, E. | - |
dc.contributor.author | Jorgensen, P. | - |
dc.contributor.author | Kang, S. | - |
dc.contributor.author | Packer, J. | - |
dc.date.available | 2019-03-08T06:56:26Z | - |
dc.date.issued | 2020-05 | - |
dc.identifier.issn | 0143-3857 | - |
dc.identifier.issn | 1469-4417 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/cau/handle/2019.sw.cau/3260 | - |
dc.description.abstract | In this paper, we define the notion of monic representation for the -algebras of finite higher-rank graphs with no sources, and we undertake a comprehensive study of them. Monic representations are the representations that, when restricted to the commutative -algebra of the continuous functions on the infinite path space, admit a cyclic vector. We link monic representations to the -semibranching representations previously studied by Farsi, Gillaspy, Kang and Packer (Separable representations, KMS states, and wavelets for higher-rank graphs. J. Math. Anal. Appl. 434 (2015), 241-270) and also provide a universal representation model for non-negative monic representations. © Cambridge University Press, 2018. | - |
dc.format.extent | 30 | - |
dc.language | 영어 | - |
dc.language.iso | ENG | - |
dc.publisher | Cambridge University Press | - |
dc.title | Monic representations of finite higher-rank graphs | - |
dc.type | Article | - |
dc.identifier.doi | 10.1017/etds.2018.79 | - |
dc.identifier.bibliographicCitation | Ergodic Theory and Dynamical Systems, v.40, no.5, pp 1238 - 1267 | - |
dc.description.isOpenAccess | N | - |
dc.identifier.wosid | 000523649500005 | - |
dc.identifier.scopusid | 2-s2.0-85053137349 | - |
dc.citation.endPage | 1267 | - |
dc.citation.number | 5 | - |
dc.citation.startPage | 1238 | - |
dc.citation.title | Ergodic Theory and Dynamical Systems | - |
dc.citation.volume | 40 | - |
dc.type.docType | Article | - |
dc.publisher.location | 미국 | - |
dc.subject.keywordAuthor | monic representations | - |
dc.subject.keywordAuthor | Lambda-semibranching function systems | - |
dc.subject.keywordAuthor | Markov measures | - |
dc.subject.keywordAuthor | projective systems | - |
dc.subject.keywordPlus | CUNTZ-KRIEGER ALGEBRAS | - |
dc.subject.keywordPlus | ATOMIC REPRESENTATIONS | - |
dc.subject.keywordPlus | BRATTELI DIAGRAMS | - |
dc.subject.keywordPlus | CSTAR-ALGEBRAS | - |
dc.subject.keywordPlus | SYSTEMS | - |
dc.subject.keywordPlus | ENDOMORPHISMS | - |
dc.subject.keywordPlus | OPERATORS | - |
dc.subject.keywordPlus | WAVELETS | - |
dc.subject.keywordPlus | SPACE | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.description.journalRegisteredClass | sci | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
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