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

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.

LaTeX, 12 pages

References in corpus (2)

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

Cited by in corpus (1)

• On the multiplication of operator-valued c-free random variables