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Please use this identifier to cite or link to this item: https://hdl.handle.net/1959.11/61675
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dc.contributor.authorBrownlowe, Nathanen
dc.contributor.authorRobertson, Daviden
dc.date.accessioned2024-07-16T04:59:40Z-
dc.date.available2024-07-16T04:59:40Z-
dc.date.issued2024-04-02-
dc.identifier.citationJournal of Noncommutative Geometry, p. 1-25en
dc.identifier.issn1661-6960en
dc.identifier.issn1661-6952en
dc.identifier.urihttps://hdl.handle.net/1959.11/61675-
dc.description.abstract<p>We introduce the notion of self-similarity for compact quantum groups. For a finite set <i>X</i>, we introduce a <i>C*</i> -algebra A<i><sub>X</sub></i>, which is the quantum automorphism group of the infinite homogeneous rooted tree <i>X*</i>. Self-similar quantum groups are then certain quantum subgroups of A<i><sub>X</sub></i>. Our main class of examples are called finitely-constrained self-similar quantum groups, and we find a class of these examples that can be described as quantum wreath products by subgroups of the quantum permutation group.</p>en
dc.languageenen
dc.publisherEMS Pressen
dc.relation.ispartofJournal of Noncommutative Geometryen
dc.titleSelf-similar quantum groupsen
dc.typeJournal Articleen
dc.identifier.doi10.4171/jncg/565en
local.contributor.firstnameNathanen
local.contributor.firstnameDaviden
local.relation.isfundedbyARCen
local.profile.schoolSchool of Science and Technologyen
local.profile.emaildrober54@une.edu.auen
local.output.categoryC1en
local.grant.numberDP200100155en
local.record.placeauen
local.record.institutionUniversity of New Englanden
local.publisher.placeGermanyen
local.format.startpage1en
local.format.endpage25en
local.peerreviewedYesen
local.contributor.lastnameBrownloween
local.contributor.lastnameRobertsonen
dc.identifier.staffune-id:drober54en
local.profile.orcid0000-0002-0425-4775en
local.profile.roleauthoren
local.profile.roleauthoren
local.identifier.unepublicationidune:1959.11/61675en
dc.identifier.academiclevelAcademicen
dc.identifier.academiclevelAcademicen
local.title.maintitleSelf-similar quantum groupsen
local.relation.fundingsourcenoteThe Sydney Mathematical Research Instituteen
local.output.categorydescriptionC1 Refereed Article in a Scholarly Journalen
local.relation.grantdescriptionARC/DP200100155en
local.search.authorBrownlowe, Nathanen
local.search.authorRobertson, Daviden
local.uneassociationYesen
local.atsiresearchNoen
local.sensitive.culturalNoen
local.year.published2024en
local.subject.for20204904 Pure mathematicsen
local.profile.affiliationtypeExternal Affiliationen
local.profile.affiliationtypeUNE Affiliationen
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