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dc.date.accessioned2018-09-11T09:44:06Z
dc.date.available2018-09-11T09:44:06Z
dc.date.created2017-12-20T15:11:23Z
dc.date.issued2017
dc.identifier.citationNeshveyev, Sergey Yamashita, Makoto . Poisson boundaries of monoidal categories. Annales Scientifiques de l'Ecole Normale Supérieure. 2017, 50(4), 927-972
dc.identifier.urihttp://hdl.handle.net/10852/64602
dc.description.abstractGiven a rigid C∗ -tensor category C with simple unit and a probability measure µ on the set of isomorphism classes of its simple objects, we define the Poisson boundary of (C, µ). This is a new C∗ -tensor category P, generally with nonsimple unit, together with a unitary tensor functor Π: C → P. Our main result is that if P has simple unit (which is a condition on some classical random walk), then Π is a universal unitary tensor functor defining the amenable dimension function on C. Corollaries of this theorem unify various results in the literature on amenability of C∗ -tensor categories, quantum groups, and subfactors.en_US
dc.languageEN
dc.publisherElsevier Science
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/
dc.titlePoisson boundaries of monoidal categoriesen_US
dc.typeJournal articleen_US
dc.creator.authorNeshveyev, Sergey
dc.creator.authorYamashita, Makoto
cristin.unitcode185,15,13,65
cristin.unitnameFlere komplekse variable, logikk og operatoralgebraer
cristin.ispublishedtrue
cristin.fulltextpostprint
cristin.qualitycode2
dc.identifier.cristin1530566
dc.identifier.bibliographiccitationinfo:ofi/fmt:kev:mtx:ctx&ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Annales Scientifiques de l'Ecole Normale Supérieure&rft.volume=50&rft.spage=927&rft.date=2017
dc.identifier.jtitleAnnales Scientifiques de l'Ecole Normale Supérieure
dc.identifier.volume50
dc.identifier.issue4
dc.identifier.startpage927
dc.identifier.endpage972
dc.identifier.doihttp://dx.doi.org/10.24033/asens.2335
dc.identifier.urnURN:NBN:no-67140
dc.type.documentTidsskriftartikkelen_US
dc.type.peerreviewedPeer reviewed
dc.source.issn0012-9593
dc.identifier.fulltextFulltext https://www.duo.uio.no/bitstream/handle/10852/64602/2/poissoncat3.87.pdf
dc.type.versionAcceptedVersion


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