• Corpus ID: 115161201

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

@article{Curran2008AnalyticSR,
  title={Analytic subordination results in free probability from non-coassociative derivation-comultiplications},
  author={Stephen J. Curran},
  journal={arXiv: Operator Algebras},
  year={2008}
}
  • S. Curran
  • Published 27 October 2008
  • Mathematics
  • arXiv: Operator Algebras
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. 

Quantum symmetries in free probability

Author(s): Curran, Stephen Robert | Advisor(s): Voiculescu, Dan-Virgil | Abstract: The framework of this thesis is Voiculescu's free probability theory. The main theme is the application of