63 citations · 324 across the 37 of their papers we have counts for
46 papers
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…
Spectral localizers in KK-theory
Jens Kaad
We study the index homomorphism of even K-groups arising from a class in even KK-theory via the Kasparov product. Due to the seminal work of Baaj and Julg, under mild conditions on…
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…
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…
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…
External products of spectral metric spaces
Jens Kaad
In this paper, we present a characterization of compact quantum metric spaces in terms of finite dimensional approximations. This characterization naturally leads to the introducti…