A Fock Space Model for Addition and Multiplication of C-free Random Variables

2010/12/19 by Mihai Popa, Popa, Mihai
Computer Science · Mathematics · #30H20 #46L54 #Advanced Algebra and Logic #Advanced Combinatorial Mathematics #FOS: Mathematics #Operator Algebras (math.OA) #Random Matrices and Applications #Rough Sets and Fuzzy Logic #math.OA #msc:30H20 #msc:46L54

paper · pdf · doi:10.48550/arxiv.1012.4162

LaTeX, 12 pages

arxiv created 2010/12/19 · openalex publication_date 2010/12/19 · arxiv updated 2010/12/21 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28

Abstract

The paper presents a Fock space model suitable for constructions of c-free algebras. Immediate applications are direct proofs for the properties of the c-free R- and S-transforms.

Citations

• Realization of conditionally monotone independence and monotone products of completely positive maps
• On multiplicative conditionally free convolution

Related

• On the multiplication of operator-valued c-free random variables
• A Characterization of Freeness by a Factorization Property of R-transform
• Fock Spaces with Reflection Condition and Generalized Statistics
• Fock representation of free convolution powers
• Canonical random variables for multivariate, algebra-valued distributions