dc.date.accessioned | 2021-02-16T20:19:02Z | |
dc.date.available | 2021-02-16T20:19:02Z | |
dc.date.created | 2020-11-11T14:26:30Z | |
dc.date.issued | 2020 | |
dc.identifier.citation | Afsar, Zahra Larsen, Nadia S. Neshveyev, Sergey . KMS States on Nica-Toeplitz C∗-algebras. Communications in Mathematical Physics. 2020, 378(3), 1875-1929 | |
dc.identifier.uri | http://hdl.handle.net/10852/83335 | |
dc.description.abstract | Given a quasi-lattice ordered group (G, P) and a compactly aligned product system X of essential C∗-correspondences over the monoid P, we show that there is a bijection between the gauge-invariant KMSβ-states on the Nica-Toeplitz algebra NT(X) of X with respect to a gauge-type dynamics, on one side, and the tracial states on the coefficient algebra A satisfying a system (in general infinite) of inequalities, on the other. This strengthens and generalizes a number of results in the literature in several directions: we do not make any extra assumptions on P and X, and our result can, in principle, be used to study KMS-states at any finite inverse temperature β. Under fairly general additional assumptions we show that there is a critical inverse temperature βc such that for β>βc all KMSβ-states are of Gibbs type, hence gauge-invariant, in which case we have a complete classification of KMSβ-states in terms of tracial states on A, while at β=βc we have a phase transition manifesting itself in the appearance of KMSβ-states that are not of Gibbs type. In the case of right-angled Artin monoids we show also that our system of inequalities for traces on A can be reduced to a much smaller system, a finite one when the monoid is finitely generated. Most of our results generalize to arbitrary quasi-free dynamics on NT(X). | |
dc.language | EN | |
dc.rights | Attribution 4.0 International | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.title | KMS States on Nica-Toeplitz C∗-algebras | |
dc.type | Journal article | |
dc.creator.author | Afsar, Zahra | |
dc.creator.author | Larsen, Nadia S. | |
dc.creator.author | Neshveyev, Sergey | |
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 | 1847005 | |
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=Communications in Mathematical Physics&rft.volume=378&rft.spage=1875&rft.date=2020 | |
dc.identifier.jtitle | Communications in Mathematical Physics | |
dc.identifier.volume | 378 | |
dc.identifier.issue | 3 | |
dc.identifier.startpage | 1875 | |
dc.identifier.endpage | 1929 | |
dc.identifier.doi | https://doi.org/10.1007/s00220-020-03711-6 | |
dc.identifier.urn | URN:NBN:no-86067 | |
dc.type.document | Tidsskriftartikkel | |
dc.type.peerreviewed | Peer reviewed | |
dc.source.issn | 0010-3616 | |
dc.identifier.fulltext | Fulltext https://www.duo.uio.no/bitstream/handle/10852/83335/5/Afsar2020_Article_KMSStatesOnNica-ToeplitzHboxCC.pdf | |
dc.type.version | PublishedVersion | |