dc.date.accessioned | 2023-02-07T17:55:22Z | |
dc.date.available | 2023-10-05T22:45:57Z | |
dc.date.created | 2023-01-31T09:36:04Z | |
dc.date.issued | 2022 | |
dc.identifier.citation | Gazdag, Luca Eva Laca, Marcelo Larsen, Nadia S. . KMS states of quasi-free dynamics on C*-algebras of product systems over right LCM monoids. International mathematics research notices. 2022 | |
dc.identifier.uri | http://hdl.handle.net/10852/99740 | |
dc.description.abstract | We generalise recent results of Afsar, Larsen, and Neshveyev for product systems over quasi-lattice orders by showing that the equilibrium states of quasi-free dynamics on the Nica–Toeplitz C∗-algebras of product systems over right LCM monoids must satisfy a positivity condition encoded in a system of inequalities satisfied by their restrictions to the coefficient algebra. We prove that the reduction of this positivity condition to a finite subset of inequalities is valid for a wider class of monoids that properly includes finite-type Artin monoids, answering a question left open in their work. Our main technical tool is a combinatorially generated tree modelled on a recent construction developed by Boyu Li for dilations of contractive representations. We also obtain a reduction of the positivity condition to inequalities arising from a certain minimal subset that may not be finite but has the advantage of holding for all Noetherian right LCM monoids, and we present an example, arising from a finite-type Artin monoid, that exhibits a gap in its inverse temperature space. | |
dc.language | EN | |
dc.title | KMS states of quasi-free dynamics on C*-algebras of product systems over right LCM monoids | |
dc.title.alternative | ENEngelskEnglishKMS states of quasi-free dynamics on C*-algebras of product systems over right LCM monoids | |
dc.type | Journal article | |
dc.creator.author | Gazdag, Luca Eva | |
dc.creator.author | Laca, Marcelo | |
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 | postprint | |
cristin.qualitycode | 2 | |
dc.identifier.cristin | 2119383 | |
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=International mathematics research notices&rft.volume=&rft.spage=&rft.date=2022 | |
dc.identifier.jtitle | International mathematics research notices | |
dc.identifier.pagecount | 45 | |
dc.identifier.doi | https://doi.org/10.1093/imrn/rnac263 | |
dc.type.document | Tidsskriftartikkel | |
dc.type.peerreviewed | Peer reviewed | |
dc.source.issn | 1073-7928 | |
dc.type.version | AcceptedVersion | |
cristin.articleid | rnac263 | |
dc.relation.project | NFR/300837 | |
dc.relation.project | TMF/PureMath | |