Purely Atomic Representations of Higher-Rank Graph C*-Algebras
DC Field | Value | Language |
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dc.contributor.author | Farsi, Carla | - |
dc.contributor.author | Gillaspy, Elizabeth | - |
dc.contributor.author | Jorgensen, Palle | - |
dc.contributor.author | Kang, Sooran | - |
dc.contributor.author | Packer, Judith | - |
dc.date.available | 2019-01-22T12:29:15Z | - |
dc.date.issued | 2018-12 | - |
dc.identifier.issn | 0378-620X | - |
dc.identifier.issn | 1420-8989 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/cau/handle/2019.sw.cau/539 | - |
dc.description.abstract | We study purely atomic representations of C*-algebras associated to row-finite and source-free higher-rank graphs. We describe when purely atomic representations are unitarily equivalent and we give necessary and sufficient conditions for a purely atomic representation to be irreducible in terms of the associated projection valued measures. We also investigate the relationship between purely atomic representations, monic representations and permutative representations, and we describe when a purely atomic representation admits a decomposition consisting of permutative representations. | - |
dc.publisher | SPRINGER BASEL AG | - |
dc.title | Purely Atomic Representations of Higher-Rank Graph C*-Algebras | - |
dc.type | Article | - |
dc.identifier.doi | 10.1007/s00020-018-2493-z | - |
dc.identifier.bibliographicCitation | INTEGRAL EQUATIONS AND OPERATOR THEORY, v.90, no.6 | - |
dc.description.isOpenAccess | N | - |
dc.identifier.wosid | 000446413900001 | - |
dc.identifier.scopusid | 2-s2.0-85054055335 | - |
dc.citation.number | 6 | - |
dc.citation.title | INTEGRAL EQUATIONS AND OPERATOR THEORY | - |
dc.citation.volume | 90 | - |
dc.type.docType | Article | - |
dc.publisher.location | 스위스 | - |
dc.subject.keywordAuthor | Higher-rank graphs | - |
dc.subject.keywordAuthor | Purely atomic representations | - |
dc.subject.keywordAuthor | Projection-valued measure | - |
dc.subject.keywordAuthor | Permutative representations | - |
dc.subject.keywordAuthor | Irreducible representations | - |
dc.subject.keywordPlus | FINITELY CORRELATED STATES | - |
dc.subject.keywordPlus | ITERATED FUNCTION SYSTEMS | - |
dc.subject.keywordPlus | CUNTZ-KRIEGER ALGEBRAS | - |
dc.subject.keywordPlus | BRATTELI DIAGRAMS | - |
dc.subject.keywordPlus | INFINITE-GRAPHS | - |
dc.subject.keywordPlus | KMS STATES | - |
dc.subject.keywordPlus | ENDOMORPHISMS | - |
dc.subject.keywordPlus | FRACTALS | - |
dc.subject.keywordPlus | SPACE | - |
dc.subject.keywordPlus | SEMIGROUP | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.description.journalRegisteredClass | sci | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
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