dc.date.accessioned | 2019-08-20T05:25:25Z | |
dc.date.available | 2021-02-01T23:45:37Z | |
dc.date.created | 2019-01-24T13:16:35Z | |
dc.date.issued | 2018 | |
dc.identifier.citation | Larsen, Nadia S. Kwasniewski, Bartosz K. . Nica–Toeplitz algebras associated with product systems over right LCM semigroups. Journal of Mathematical Analysis and Applications. 2018, 470(1), 532-570 | |
dc.identifier.uri | http://hdl.handle.net/10852/69247 | |
dc.description.abstract | We prove uniqueness of representations of Nica–Toeplitz algebras associated to product systems of C∗-correspondences over right LCM semigroups by applying our previous abstract uniqueness results developed for C∗-precategories. Our results provide an interpretation of conditions identified in work of Fowler and Fowler– Raeburn, and apply also to their crossed product twisted by a product system, in the new context of right LCM semigroups, as well as to a new, Doplicher–Roberts type C∗-algebra associated to the Nica–Toeplitz algebra. As a derived construction we develop Nica–Toeplitz crossed products by actions with completely positive maps. This provides a unified framework for Nica–Toeplitz semigroup crossed products by endomorphisms and by transfer operators. We illustrate these two classes of examples with semigroup C∗-algebras of right and left semidirect products. | en_US |
dc.language | EN | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 International | |
dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/4.0/ | |
dc.title | Nica–Toeplitz algebras associated with product systems over right LCM semigroups | en_US |
dc.type | Journal article | en_US |
dc.creator.author | Larsen, Nadia S. | |
dc.creator.author | Kwasniewski, Bartosz K. | |
cristin.unitcode | 185,15,13,0 | |
cristin.unitname | Matematisk institutt | |
cristin.ispublished | true | |
cristin.fulltext | postprint | |
cristin.qualitycode | 1 | |
dc.identifier.cristin | 1664449 | |
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=Journal of Mathematical Analysis and Applications&rft.volume=470&rft.spage=532&rft.date=2018 | |
dc.identifier.jtitle | Journal of Mathematical Analysis and Applications | |
dc.identifier.volume | 470 | |
dc.identifier.issue | 1 | |
dc.identifier.startpage | 532 | |
dc.identifier.endpage | 570 | |
dc.identifier.doi | https://doi.org/10.1016/j.jmaa.2018.10.020 | |
dc.identifier.urn | URN:NBN:no-72354 | |
dc.type.document | Tidsskriftartikkel | en_US |
dc.type.peerreviewed | Peer reviewed | |
dc.source.issn | 0022-247X | |
dc.identifier.fulltext | Fulltext https://www.duo.uio.no/bitstream/handle/10852/69247/2/Kwa-Lar-JMAA-revised18sep2018.pdf | |
dc.type.version | AcceptedVersion | |