Asymptotic matricial models and QWEP property for q-Araki-Woods von Neumann algebras

Using Speicher central limit Theorem we provide Hiai's q-Araki-Woods von Neumann algebras with nice asymptotic matricial models. Then, we use this model and an elaborated ultraproduct procedure, to show that all q-Araki-Woods von Neumann algebras are QWEP.

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Source ISSN: 0022-1236
Author Nou, Alexandre
Maintainer CCSD
Last Updated May 15, 2026, 07:16 (UTC)
Created May 15, 2026, 07:16 (UTC)
Identifier hal-00077608
Language en
Rights https://about.hal.science/hal-authorisation-v1/
contributor Mathématiques - Analyse, Probabilités, Modélisation - Orléans (MAPMO) ; Université d'Orléans (UO)-Centre National de la Recherche Scientifique (CNRS)
creator Nou, Alexandre
date 2006-05-15T00:00:00
harvest_object_id 45394f32-3a1e-4dea-94ac-a9bd6b49c73c
harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2026-05-13T00:00:00
relation info:eu-repo/semantics/altIdentifier/arxiv/math.OA/0605790
set_spec type:ART