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A Banach Algebra Approach To Amalgamated R- and S-transforms

L. Aagaard
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Abstract

We give a Banach algebra approach to the additiveness property of Voiculescu's amalgamated R-transform. We also define an amalgamated S-transform and prove that it is multiplicative on products of amalgamated free random variables when the algebra of amalgamation is commutative.

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L. Aagaard. 2004-06-09. A Banach Algebra Approach To Amalgamated R- and S-transforms. https://arxiv.org/abs/math/0406167

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