dc.contributor.author | Carlsen, Toke | |
dc.contributor.author | Kwasniewski, Bartosz K. | |
dc.contributor.author | Ortega Esparza, Eduardo | |
dc.date.accessioned | 2020-04-20T08:58:40Z | |
dc.date.available | 2020-04-20T08:58:40Z | |
dc.date.created | 2019-01-29T12:50:08Z | |
dc.date.issued | 2019 | |
dc.identifier.citation | Journal of Mathematical Analysis and Applications. 2019, 473 (2), 749-785. | en_US |
dc.identifier.issn | 0022-247X | |
dc.identifier.uri | https://hdl.handle.net/11250/2651635 | |
dc.description.abstract | We study conditions that ensure uniqueness theorems of Cuntz–Krieger type for relative Cuntz–Pimsner algebras associated to a ⁎-correspondence X over a ⁎-algebra A. We give general sufficient conditions phrased in terms of a multivalued map acting on the spectrum of A. When is of Type I we construct a directed graph dual to X and prove a uniqueness theorem using this graph. When is liminal, we show that topological freeness of this graph is equivalent to the uniqueness property for , as well as to an algebraic condition which we call J-acyclicity of X. As an application we improve the Fowler–Raeburn uniqueness theorem for the Toeplitz algebra . We give new simplicity criteria for . We generalize and enhance uniqueness results for relative quiver ⁎-algebras of Muhly and Tomforde. We also discuss applications to crossed products by endomorphisms. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Elsevier | en_US |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internasjonal | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/deed.no | * |
dc.title | Topological freeness for C*-correspondences | en_US |
dc.type | Journal article | en_US |
dc.type | Peer reviewed | en_US |
dc.description.version | acceptedVersion | en_US |
dc.source.pagenumber | 749-785 | en_US |
dc.source.volume | 473 | en_US |
dc.source.journal | Journal of Mathematical Analysis and Applications | en_US |
dc.source.issue | 2 | en_US |
dc.identifier.doi | 10.1016/j.jmaa.2018.12.069 | |
dc.identifier.cristin | 1667438 | |
dc.description.localcode | © 2019. This is the authors’ accepted and refereed manuscript to the article. Locked until 8.1.2021 due to copyright restrictions. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/ " | en_US |
cristin.unitcode | 194,63,15,0 | |
cristin.unitname | Institutt for matematiske fag | |
cristin.ispublished | true | |
cristin.fulltext | original | |
cristin.qualitycode | 1 | |