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The quantum disk is not a quantum group

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cris.lastimport.scopus2024-02-12T20:17:35Z
dc.abstract.enIn this paper, we show that the quantum disk, i.e. the quantum space correspondingto the Toeplitz C∗-algebra does not admit any compact quantum group structure. Weprove that if such a structure existed the resulting compact quantum group would simul-taneously be of Kac type and not of Kac type. The main tools used in the solution comefrom the theory of operators on Hilbert spaces.
dc.affiliationUniwersytet Warszawski
dc.contributor.authorSołtan, Piotr
dc.contributor.authorKrajczok, Jacek
dc.date.accessioned2024-01-26T10:36:37Z
dc.date.available2024-01-26T10:36:37Z
dc.date.issued2021
dc.description.financeNie dotyczy
dc.identifier.doi10.1142/S1793525321500436
dc.identifier.issn1793-5253
dc.identifier.urihttps://repozytorium.uw.edu.pl//handle/item/122928
dc.identifier.weblinkhttps://www.worldscientific.com/doi/pdf/10.1142/S1793525321500436
dc.languageeng
dc.pbn.affiliationmathemathics
dc.relation.ispartofJournal of Topology and Analysis
dc.relation.pages1-11
dc.rightsClosedAccess
dc.sciencecloudnosend
dc.subject.encompact quantum group
dc.subject.enquantum space
dc.subject.ennon-commutative topology
dc.titleThe quantum disk is not a quantum group
dc.typeJournalArticle
dspace.entity.typePublication