Analytic subordination results in free probability from non-coassociative derivation-comultiplications
Operator Algebras
2008-10-28 v1 Quantum Algebra
Abstract
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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Cite
@article{arxiv.0810.4733,
title = {Analytic subordination results in free probability from non-coassociative derivation-comultiplications},
author = {Stephen Curran},
journal= {arXiv preprint arXiv:0810.4733},
year = {2008}
}
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17 pages