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Analytic Subordination Consequences of Free Markovianity

Dan Voiculescu
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Abstract

Using simple operator-valued analytic function considerations several general analytic subordination results for a freely Markovian triple of operator algebras are derived from the analytic subordination result for generalized resolvents in the case of a free increment with amalgamation. This includes a generalization of Biane's subordination result in the case of a unitary free multiplicative increment.

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Dan Voiculescu. 2001-09-26. Analytic Subordination Consequences of Free Markovianity. https://arxiv.org/abs/math/0109211

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