A Kurosh-Type Theorem for Type III Factors

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dc.creatorAsher, Jason
dc.date2008-09-20
dc.date.accessioned2026-07-07T10:04:15Z
dc.date.available2026-07-07T10:04:15Z
dc.descriptionWe prove a generalization of N. Ozawa's Kurosh-type theorem to the setting of free products of semiexact II_1 factors with respect to arbitrary (non-tracial) faithful normal states. We are thus able to distinguish certain resulting type III factors. For example, if M = LF_n \otimes LF_m and {ϕ_i} is any sequence of faithful normal states on M, then the l-various (M,ϕ_1) * ... * (M,ϕ_l) are all mutually non-isomorphic.
dc.description7 pages
dc.identifierhttps://arxiv.org/abs/0809.3488
dc.identifierhttp://arxiv.org/abs/0809.3488
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/169605
dc.subjectOperator Algebras
dc.subject46L10; 46L09
dc.titleA Kurosh-Type Theorem for Type III Factors
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