17 citations · 94 across the 23 of their papers we have counts for
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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…
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…
Finiteness of metrics on state spaces
David Kyed, Ryszard Nest
We show that Connes' metric on the state space associated with a spectral triple is nowhere infinite exactly when it is globally bounded. Moreover, we produce a family of simple ex…
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…
Polynomial approximation of quantum Lipschitz functions
Konrad Aguilar, Jens Kaad, David Kyed
We prove an approximation result for Lipschitz functions on the quantum sphere , from which we deduce that the two natural quantum metric structures on have quantum…
The Podles spheres converge to the sphere
Konrad Aguilar, Jens Kaad, David Kyed
We prove that the Podles spheres converge in quantum Gromov-Hausdorff distance to the classical 2-sphere as the deformation parameter tends to 1. Moreover, we construct…