Analytic subordination results in free probability from noncoassociative derivationcomultiplications
Abstract
We extend Voiculescu's approach to analytic subordination through the coalgebra of the free difference quotient to noncoassociative derivationcomultiplications 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.
 Publication:

arXiv eprints
 Pub Date:
 October 2008
 arXiv:
 arXiv:0810.4733
 Bibcode:
 2008arXiv0810.4733C
 Keywords:

 Mathematics  Operator Algebras;
 Mathematics  Quantum Algebra;
 46L54;
 16W30
 EPrint:
 17 pages