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

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

2004-06-09

arxiv.org/abs/math/0406167v1

Mathematics

Operator Algebras

22 pages

Scientific paper

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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