3 papers
math.OA2025
Quantum metrics from length functions on quantum groups
Are Austad, David Kyed
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 cap…
math.OA2025
The quantum metric structure of quantum SU(2)
Jens Kaad, David Kyed
We introduce a two parameter family of Dirac operators on quantum SU(2) and analyse their properties from the point of view of non-commutative metric geometry. It is shown that the…
math.OA2024
Quantum metrics on crossed products with groups of polynomial growth
Are Austad, Jens Kaad, David Kyed
We show how to equip the crossed product between a group of polynomial growth and a compact quantum metric space with a compact quantum metric space structure. When the quantum met…