An Elementary Proof of the Free-additivity of Voiculescu's Free Entropy

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dc.creatorHadwin, Don
dc.creatorLi, Weihua
dc.creatorShen, Junhao
dc.date2008-02-03
dc.date.accessioned2026-07-07T09:18:29Z
dc.date.available2026-07-07T09:18:29Z
dc.descriptionD. Voiculescu [2] proved that a standard family of independent random unitary k by k matrices and a constant k by k unitary matrix is asymtotically free as k goes to infinity. This result was a key ingredient in Voiculescu's proof [3] that his free entropy is additive when the variables are free. In this paper, we give a very elementary proof of a more detailed version of this result [2].
dc.identifierhttps://arxiv.org/abs/0802.0292
dc.identifierhttp://arxiv.org/abs/0802.0292
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/154040
dc.subjectOperator Algebras
dc.subject46L10
dc.titleAn Elementary Proof of the Free-additivity of Voiculescu's Free Entropy
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