dc.date.accessioned | 2021-02-28T20:42:59Z | |
dc.date.available | 2021-02-28T20:42:59Z | |
dc.date.created | 2021-02-01T20:48:24Z | |
dc.date.issued | 2021 | |
dc.identifier.citation | Caspers, Martijn Klisse, Mario Larsen, Nadia S. . Graph product Khintchine inequalities and Hecke C∗-algebras: Haagerup inequalities, (non)simplicity, nuclearity and exactness. Journal of Functional Analysis. 2021, 280(1) | |
dc.identifier.uri | http://hdl.handle.net/10852/83606 | |
dc.description.abstract | Graph products of groups were introduced by Green in her thesis [32]. They have an operator algebraic counterpart introduced and explored in [14]. In this paper we prove Khintchine type inequalities for general C⁎-algebraic graph products which generalize results by Ricard and Xu [50] on free products of C⁎-algebras. We apply these inequalities in the context of (right-angled) Hecke C⁎-algebras, which are deformations of the group algebra of Coxeter groups (see [22]). For these we deduce a Haagerup inequality which generalizes results from [33]. We further use this to study the simplicity and trace uniqueness of (right-angled) Hecke C⁎-algebras. Lastly we characterize exactness and nuclearity of general Hecke C⁎-algebras. | |
dc.language | EN | |
dc.rights | Attribution 4.0 International | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.title | Graph product Khintchine inequalities and Hecke C∗-algebras: Haagerup inequalities, (non)simplicity, nuclearity and exactness | |
dc.type | Journal article | |
dc.creator.author | Caspers, Martijn | |
dc.creator.author | Klisse, Mario | |
dc.creator.author | Larsen, Nadia S. | |
cristin.unitcode | 185,15,13,65 | |
cristin.unitname | Flere komplekse variable, logikk og operatoralgebraer | |
cristin.ispublished | true | |
cristin.fulltext | original | |
cristin.qualitycode | 2 | |
dc.identifier.cristin | 1885528 | |
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 Functional Analysis&rft.volume=280&rft.spage=&rft.date=2021 | |
dc.identifier.jtitle | Journal of Functional Analysis | |
dc.identifier.volume | 280 | |
dc.identifier.issue | 1 | |
dc.identifier.pagecount | 41 | |
dc.identifier.doi | https://doi.org/10.1016/j.jfa.2020.108795 | |
dc.identifier.urn | URN:NBN:no-86344 | |
dc.type.document | Tidsskriftartikkel | |
dc.type.peerreviewed | Peer reviewed | |
dc.source.issn | 0022-1236 | |
dc.identifier.fulltext | Fulltext https://www.duo.uio.no/bitstream/handle/10852/83606/2/CKL-graphprod-Hecke-JFA.pdf | |
dc.type.version | PublishedVersion | |
cristin.articleid | 108795 | |
dc.relation.project | TMF/PureMath | |