Analytic subordination results in free probability from non-coassociative derivation-comultiplications

Details Analytic subordination results in free probability from non-coassociative derivation-comultiplications Analytic subordination results in free probability from non-coassociative derivation-comultiplications

2008-10-27

arxiv.org/abs/0810.4733v1

Mathematics

Operator Algebras

17 pages

Scientific paper

We extend Voiculescu's approach to analytic subordination through the
coalgebra of the free difference quotient to non-coassociative
derivation-comultiplications appearing in free probability theory. We obtain
new proofs of Voiculescu's analytic subordination results for freely Markovian
triples, and for multiplication of unitaries which are free with amalgamation.

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