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math.OA2023
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…
math.OA2023
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…
math.OA2023★ 1 cited
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…