Please use this identifier to cite or link to this item:
https://hdl.handle.net/1959.11/52461
Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Robertson, David | en |
dc.contributor.author | Sims, Aidan | en |
dc.date.accessioned | 2022-06-09T23:59:41Z | - |
dc.date.available | 2022-06-09T23:59:41Z | - |
dc.date.issued | 2007-04 | - |
dc.identifier.citation | Bulletin of the London Mathematical Society, 39(2), p. 337-344 | en |
dc.identifier.issn | 1469-2120 | en |
dc.identifier.issn | 0024-6093 | en |
dc.identifier.uri | https://hdl.handle.net/1959.11/52461 | - |
dc.description.abstract | We prove that if Λ is a row-finite k-graph with no sources, then the associated C*-algebra is simple if and only if Λ is cofinal and satisfies Kumjian and Pask's aperiodicity condition, known as Condition (A). We prove that the aperiodicity condition is equivalent to a suitably modified version of Robertson and Steger's original nonperiodicity condition (H3), which in particular involves only finite paths. We also characterise both cofinality and aperiodicity of Λ in terms of ideals in <i>C</i>*(Λ). | en |
dc.language | en | en |
dc.publisher | Wiley-Blackwell Publishing Ltd | en |
dc.relation.ispartof | Bulletin of the London Mathematical Society | en |
dc.title | Simplicity of C*-algebras associated to higher-rank graphs | en |
dc.type | Journal Article | en |
dc.identifier.doi | 10.1112/blms/bdm006 | en |
local.contributor.firstname | David | en |
local.contributor.firstname | Aidan | en |
local.relation.isfundedby | ARC | en |
local.profile.school | School of Science and Technology | en |
local.profile.email | drober54@une.edu.au | en |
local.output.category | C1 | en |
local.record.place | au | en |
local.record.institution | University of New England | en |
local.publisher.place | United Kingdom | en |
local.format.startpage | 337 | en |
local.format.endpage | 344 | en |
local.peerreviewed | Yes | en |
local.identifier.volume | 39 | en |
local.identifier.issue | 2 | en |
local.contributor.lastname | Robertson | en |
local.contributor.lastname | Sims | en |
dc.identifier.staff | une-id:drober54 | en |
local.profile.orcid | 0000-0002-0425-4775 | en |
local.profile.role | author | en |
local.profile.role | author | en |
local.identifier.unepublicationid | une:1959.11/52461 | en |
local.date.onlineversion | 2007-04-02 | - |
dc.identifier.academiclevel | Academic | en |
dc.identifier.academiclevel | Academic | en |
local.title.maintitle | Simplicity of C*-algebras associated to higher-rank graphs | en |
local.relation.fundingsourcenote | The second author was supported by the Australian Research Council. | en |
local.output.categorydescription | C1 Refereed Article in a Scholarly Journal | en |
local.search.author | Robertson, David | en |
local.search.author | Sims, Aidan | en |
local.uneassociation | No | en |
local.atsiresearch | No | en |
local.sensitive.cultural | No | en |
local.identifier.wosid | 000247052300024 | en |
local.year.available | 2007 | en |
local.year.published | 2007 | en |
local.fileurl.closedpublished | https://rune.une.edu.au/web/retrieve/93f50169-9c80-4af7-8437-057efa39b97b | en |
local.subject.for2020 | 490408 Operator algebras and functional analysis | en |
local.subject.seo2020 | 280118 Expanding knowledge in the mathematical sciences | en |
Appears in Collections: | Journal Article School of Science and Technology |
Files in This Item:
File | Size | Format |
---|
SCOPUSTM
Citations
58
checked on Aug 10, 2024
Page view(s)
852
checked on Jul 28, 2024
Download(s)
2
checked on Jul 28, 2024
Items in Research UNE are protected by copyright, with all rights reserved, unless otherwise indicated.