II1 Factors with non-isomorphic ultrapowers
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | BOUTONNET, Rémi | |
| hal.structure.identifier | University of Iowa [Iowa City] | |
| dc.contributor.author | CHIFAN, Ionut | |
| hal.structure.identifier | Mathematics Department; University of California San Diego | |
| dc.contributor.author | IOANA, Adrian | |
| dc.date.accessioned | 2024-04-04T03:11:07Z | |
| dc.date.available | 2024-04-04T03:11:07Z | |
| dc.date.created | 2015 | |
| dc.date.issued | 2017 | |
| dc.identifier.issn | 0012-7094 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/193745 | |
| dc.description.abstractEn | We prove that there exist uncountably many separable II1 factors whose ultrapowers (with respect to arbitrary ultrafilters) are non-isomorphic. In fact, we prove that the families of non-isomorphic II1 factors originally introduced by McDuff [MD69a, MD69b] are such examples. This entails the existence of a continuum of non-elementarily equivalent II1 factors, thus settling a well-known open problem in the continuous model theory of operator algebras. | |
| dc.language.iso | en | |
| dc.publisher | Duke University Press | |
| dc.title.en | II1 Factors with non-isomorphic ultrapowers | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Algèbres d'opérateurs [math.OA] | |
| bordeaux.journal | Duke Mathematical Journal | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-01450072 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01450072v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Duke%20Mathematical%20Journal&rft.date=2017&rft.eissn=0012-7094&rft.issn=0012-7094&rft.au=BOUTONNET,%20R%C3%A9mi&CHIFAN,%20Ionut&IOANA,%20Adrian&rft.genre=article |
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