Extremal marginal tracial states in coupled systems

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dc.creatorPrice, Geoffrey L.
dc.creatorSakai, Shoichuro
dc.date2006-07-06
dc.date.accessioned2026-07-07T07:18:07Z
dc.date.available2026-07-07T07:18:07Z
dc.descriptionLet Γbe the convex set consisting of all marginal tracial states on the tensor product B \otimes B of the algebra B of nxn matrices over the complex numbers. We find necessary and sufficient conditions for such a state to be extremal in Γ. We also give a characterization of those extreme points in Γwhich are pure states. We conjecture that all extremal marginal tracial states are pure states.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/math/0607175
dc.identifierhttp://arxiv.org/abs/math/0607175
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/114187
dc.subjectOperator Algebras
dc.subject46L30
dc.titleExtremal marginal tracial states in coupled systems
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