Work

Quantum metrics from length functions on quantum groups

Year: 2025

Type: article

Abstract: We study the quantum metric structure arising from length functions on quantum groups and show that for coamenable quantum groups of Kac type, the quantum metric information is captured by the algebra of central functions. Using this, we provide the first examples of length functions on (genuine) quantum groups which give rise to compact quantum metric spaces.

Source: Journal of Functional Analysis

DOI: 10.1016/j.jfa.2025.111256

Authors: Are Austad, David Kyed

Language: English

Topic: Advanced Operator Algebra Research

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,250