Research output per year
Research output per year
David Kyed^{*}, Jens Kaad, Thomas Gotfredsen
Research output: Contribution to journal › Journal article › Research › peer-review
The Podleś quantum sphere S _{q} ^{2} admits a natural commutative C ^{⁎}-subalgebra I _{q} with spectrum {0}∪{q ^{2k}:k∈N _{0}}, which may therefore be considered as a quantised version of a classical interval. We study here the compact quantum metric space structure on I _{q} inherited from the corresponding structure on S _{q} ^{2}, and provide an explicit formula for the metric induced on the spectrum. Moreover, we show that the resulting metric spaces vary continuously in the deformation parameter q with respect to the Gromov-Hausdorff distance, and that they converge to a classical interval of length π as q tends to 1.
Translated title of the contribution | Gromov-Hausdorff convergence of quantised intervals |
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Original language | English |
Article number | 125131 |
Journal | Journal of Mathematical Analysis and Applications |
Volume | 500 |
Issue number | 2 |
Number of pages | 13 |
ISSN | 0022-247X |
DOIs | |
Publication status | Published - 15. Aug 2021 |
Research output: Thesis › Ph.D. thesis