dc.date.accessioned | 2018-09-11T09:20:11Z | |
dc.date.available | 2018-12-07T23:31:52Z | |
dc.date.created | 2018-01-09T14:28:23Z | |
dc.date.issued | 2017 | |
dc.identifier.citation | Malacarne, Sara Neshveyev, Sergey . Probabilistic boundaries of finite extensions of quantum groups. Infinite Dimensional Analysis Quantum Probability and Related Topics. 2017, 20(4), 1750026-1-1750026-13 | |
dc.identifier.uri | http://hdl.handle.net/10852/64601 | |
dc.description.abstract | Given a discrete quantum group H with a finite normal quantum subgroup G, we show that any positive, possibly unbounded, harmonic function on H with respect to an irreducible invariant random walk is G-invariant. This implies that, under suitable assumptions, the Poisson and Martin boundaries of H coincide with those of H/G. A similar result is also proved in the setting of exact sequences of C∗-tensor categories. As an immediate application, we conclude that the boundaries of the duals of the group-theoretical easy quantum groups are classical.
© 2017 World Scientific Publishing Company | en_US |
dc.language | EN | |
dc.title | Probabilistic boundaries of finite extensions of quantum groups | en_US |
dc.type | Journal article | en_US |
dc.creator.author | Malacarne, Sara | |
dc.creator.author | Neshveyev, Sergey | |
cristin.unitcode | 185,15,0,0 | |
cristin.unitname | Det matematisk-naturvitenskapelige fakultet | |
cristin.ispublished | true | |
cristin.fulltext | postprint | |
cristin.qualitycode | 2 | |
dc.identifier.cristin | 1538952 | |
dc.identifier.bibliographiccitation | info:ofi/fmt:kev:mtx:ctx&ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Infinite Dimensional Analysis Quantum Probability and Related Topics&rft.volume=20&rft.spage=1750026-1&rft.date=2017 | |
dc.identifier.jtitle | Infinite Dimensional Analysis Quantum Probability and Related Topics | |
dc.identifier.volume | 20 | |
dc.identifier.issue | 4 | |
dc.identifier.startpage | 1750026-1 | |
dc.identifier.endpage | 1750026-13 | |
dc.identifier.doi | http://dx.doi.org/10.1142/S0219025717500266 | |
dc.identifier.urn | URN:NBN:no-67139 | |
dc.type.document | Tidsskriftartikkel | en_US |
dc.type.peerreviewed | Peer reviewed | |
dc.source.issn | 0219-0257 | |
dc.identifier.fulltext | Fulltext https://www.duo.uio.no/bitstream/handle/10852/64601/2/boundaries1.5.pdf | |
dc.type.version | AcceptedVersion | |