Work

Schoenberg correspondence for multifaced independence

Year: 2025

Type: article

Abstract: We extend the Schoenberg correspondence for universal independences by Schürmann & Voß to the multivariate setting of Manzel & Schürmann, covering, e.g., Voiculescu's bifreeness as well as Bożejko & Speicher's c-free independence. At the same time, we free the proof in the univariate situation from its dependence on Muraki's “5 Independences Theorem”.

Source: Journal of Functional Analysis

DOI: 10.1016/j.jfa.2025.111212

Author: Malte Gerhold

Institution: Universität Greifswald

Language: English

Topic: Advanced Operator Algebra Research

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,250

Funders: Deutsche Forschungsgemeinschaft, European Research Consortium for Informatics and Mathematics, Universität des Saarlandes, Universität Greifswald