dc.date.accessioned | 2024-04-04T15:43:49Z | |
dc.date.available | 2024-04-04T15:43:49Z | |
dc.date.created | 2024-01-02T09:49:39Z | |
dc.date.issued | 2023 | |
dc.identifier.citation | Bhattacharjee, Suvrajit Joardar, Soumalya Seland, Elisabeth Havsberg . Equivariant C∗-correspondences and compact quantum group actions on Pimsner algebras. Canadian Journal of Mathematics (CJM). 2023 | |
dc.identifier.uri | http://hdl.handle.net/10852/110369 | |
dc.description.abstract | Let G be a compact quantum group. We show that given a G-equivariant C∗-correspondence E, the Pimsner algebra OE can be naturally made into a G-C∗-algebra. We also provide sufficient conditions under which it is guaranteed that a G-action on the Pimsner algebra OE arises in this way, in a suitable precise sense. When G is of Kac type, a KMS state on the Pimsner algebra, arising from a quasi-free dynamics, is G-equivariant if and only if the tracial state obtained from restricting it to the coefficient algebra is G-equivariant, under a natural condition. We apply these results to the situation when the C∗-correspondence is obtained from a finite, directed graph and draw various conclusions on the quantum automorphism groups of such graphs, both in the sense of Banica and Bichon. | |
dc.language | EN | |
dc.rights | Attribution 4.0 International | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.title | Equivariant C∗-correspondences and compact quantum group actions on Pimsner algebras | |
dc.title.alternative | ENEngelskEnglishEquivariant C∗-correspondences and compact quantum group actions on Pimsner algebras | |
dc.type | Journal article | |
dc.creator.author | Bhattacharjee, Suvrajit | |
dc.creator.author | Joardar, Soumalya | |
dc.creator.author | Seland, Elisabeth Havsberg | |
cristin.unitcode | 185,15,13,65 | |
cristin.unitname | Flere komplekse variable, logikk og operatoralgebraer | |
cristin.ispublished | true | |
cristin.fulltext | original | |
cristin.qualitycode | 1 | |
dc.identifier.cristin | 2218631 | |
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=Canadian Journal of Mathematics (CJM)&rft.volume=&rft.spage=&rft.date=2023 | |
dc.identifier.jtitle | Canadian Journal of Mathematics (CJM) | |
dc.identifier.startpage | 1 | |
dc.identifier.endpage | 40 | |
dc.identifier.pagecount | 40 | |
dc.identifier.doi | https://doi.org/10.4153/S0008414X23000810 | |
dc.type.document | Tidsskriftartikkel | |
dc.type.peerreviewed | Peer reviewed | |
dc.source.issn | 0008-414X | |
dc.type.version | PublishedVersion | |