5 papers · 1 filter
Quantum deformations of the arc length metric
Rasmus Hauge Hansen, Jens Kaad
We investigate a q-deformation of the arc length metric on the unit circle. This q-deformation arises naturally from the Dirac operator by replacing the standard integers by their…
Noncommutative metric geometry of quantum circle bundles
Jens Kaad
In this paper we investigate quantum circle bundles from the point of view of compact quantum metric spaces. The raw input data is a circle action on a unital -algebra togethe…
Spectral metrics on quantum projective spaces
Max Holst Mikkelsen, Jens Kaad
We show that the noncommutative differential geometry of quantum projective spaces is compatible with Rieffel's theory of compact quantum metric spaces. This amounts to a detailed…
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…
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…