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

TL;DR

This paper introduces a Fock space model for c-free random variables, enabling direct proofs of properties of c-free R- and S-transforms, advancing the mathematical framework of free probability.

Contribution

It provides a novel Fock space construction specifically tailored for c-free algebras, facilitating easier proofs of key transform properties.

Findings

Fock space model successfully constructs c-free algebras.

Direct proofs of c-free R- and S-transform properties achieved.

Enhances mathematical tools for free probability theory.

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.