A noncommutative Amir-Cambern theorem for von Neumann algebras and nuclear ${C}^∗$-algebras.
| hal.structure.identifier | Laboratoire de Mathématiques de Besançon (UMR 6623) [LMB] | |
| hal.structure.identifier | Laboratoire de Mathématiques Nicolas Oresme [LMNO] | |
| dc.contributor.author | RICARD, Éric | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | ROYDOR, Jean | |
| dc.date.accessioned | 2024-04-04T03:22:10Z | |
| dc.date.available | 2024-04-04T03:22:10Z | |
| dc.date.created | 2013 | |
| dc.date.issued | 2014 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/194730 | |
| dc.description.abstractEn | We prove that von Neumann algebras and separable nuclear $C^∗$ -algebras are stable for the Banach-Mazur cb-distance. A technical step is to show that unital almost completely isometric maps between $C^∗$ -algebras are almost multiplicative and almost selfadjoint. Also as an intermediate result, we compare the Banach-Mazur cb-distance and the Kadison-Kastler distance. Finally, we show that if two $C^∗$ -algebras are close enough for the cb-distance, then they have at most the same length. | |
| dc.language.iso | en | |
| dc.title.en | A noncommutative Amir-Cambern theorem for von Neumann algebras and nuclear ${C}^∗$-algebras. | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Analyse fonctionnelle [math.FA] | |
| bordeaux.journal | J. Funct. Anal. 267 (2014) | |
| bordeaux.page | J. Funct. Anal. 267 (2014), no. 4, 1121-1136. | |
| 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-01016334 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01016334v1 | |
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