2008/10/27 by Stephen Curran, Curran, Stephen
Mathematics · #16W30 #46L54 #Analytic and geometric function theory #FOS: Mathematics #Geometric and Algebraic Topology #Holomorphic and Operator Theory #Operator Algebras (math.OA) #Quantum Algebra (math.QA) #math.OA #math.QA #msc:16W30 #msc:46L54
paper · pdf · doi:10.48550/arxiv.0810.4733
17 pages
arxiv created 2008/10/27 · openalex publication_date 2008/10/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.