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https://hdl.handle.net/1959.11/52458
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DC Field | Value | Language |
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dc.contributor.author | Robertson, David | en |
dc.contributor.author | Szymanski, Wojciech | en |
dc.date.accessioned | 2022-06-09T23:33:49Z | - |
dc.date.available | 2022-06-09T23:33:49Z | - |
dc.date.issued | 2011 | - |
dc.identifier.citation | Illinois Journal of Mathematics, 55(3), p. 845-870 | en |
dc.identifier.issn | 1945-6581 | en |
dc.identifier.issn | 0019-2082 | en |
dc.identifier.uri | https://hdl.handle.net/1959.11/52458 | - |
dc.description.abstract | The structure of the <i>C</i><sup>∗</sup>-algebras corresponding to even-dimensional mirror quantum spheres is investigated. It is shown that they are isomorphic to both Cuntz-Pimsner algebras of certain <i>C</i><sup>∗</sup>-correspondences and <i>C</i><sup>∗</sup>-algebras of certain labelled graphs. In order to achieve this, categories of labelled graphs and <i>C</i><sup>∗</sup>-correspondences are studied. A functor from labelled graphs to <i>C</i><sup>∗</sup>-correspondences is constructed, such that the corresponding associated <i>C</i><sup>∗</sup>-algebras are isomorphic. Furthermore, it is shown that <i>C</i><sup>∗</sup>-correspondences for the mirror quantum spheres arise via a general construction of restricted direct sum. | en |
dc.language | en | en |
dc.publisher | Duke University Press | en |
dc.relation.ispartof | Illinois Journal of Mathematics | en |
dc.title | C*-algebras associated to C*-correspondences and applications to mirror quantum spheres | en |
dc.type | Journal Article | en |
dc.identifier.doi | 10.1215/ijm/1369841788 | en |
dcterms.accessRights | Bronze | en |
local.contributor.firstname | David | en |
local.contributor.firstname | Wojciech | 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 States of America | en |
local.format.startpage | 845 | en |
local.format.endpage | 870 | en |
local.peerreviewed | Yes | en |
local.identifier.volume | 55 | en |
local.identifier.issue | 3 | en |
local.access.fulltext | Yes | en |
local.contributor.lastname | Robertson | en |
local.contributor.lastname | Szymanski | 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:1959.11/52458 | en |
dc.identifier.academiclevel | Academic | en |
dc.identifier.academiclevel | Academic | en |
local.title.maintitle | C*-algebras associated to C*-correspondences and applications to mirror quantum spheres | en |
local.relation.fundingsourcenote | This work has been supported in part by: the FNU Rammebevilling grant ‘Operator algebras and applications' (2009–2011), the Marie Curie Research Training Network MRTN-CT-2006-031962 EU-NCG, the NordForsk Research Network ‘Operator algebra and dynamics', the Marie Curie International Staff Exchange Scheme PIRSES-GA-2008-230836, and the Polish Government grant N201 1770 33. | en |
local.output.categorydescription | C1 Refereed Article in a Scholarly Journal | en |
local.search.author | Robertson, David | en |
local.search.author | Szymanski, Wojciech | en |
local.uneassociation | No | en |
local.atsiresearch | No | en |
local.sensitive.cultural | No | en |
local.identifier.wosid | 000208745600007 | en |
local.year.published | 2011 | en |
local.fileurl.closedpublished | https://rune.une.edu.au/web/retrieve/46f2bc38-2c6e-4eb6-876c-b245802b2b3f | 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 |
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