Personal profile
Research Interests
Operator algebras, quantum metric spaces, non-commutative geometry and quantum groups
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Quantum metrics from length functions on quantum groups
Austad, A. & Kyed, D., 15. Feb 2026, In: Journal of Functional Analysis. 290, 4, 32 p., 111256.Research output: Contribution to journal › Journal article › Research › peer-review
Open AccessFile8 Downloads (Pure) -
Quantum metrics on crossed products with groups of polynomial growth
Austad, A., Kaad, J. & Kyed, D., Mar 2025, In: Transactions of the American Mathematical Society. 378, 3, p. 1939-1973 35 p.Research output: Contribution to journal › Journal article › Research › peer-review
Open AccessFile40 Downloads (Pure) -
The quantum metric structure of quantum SU(2)
Kyed, D. & Kaad, J., 2025, Memoirs of the European Mathematical Society: European Mathematical Society Publishing House. 129 p.Research output: Book/report › Monograph › Research › peer-review
Open AccessFile8 Downloads (Pure) -
Finiteness of metrics on state spaces
Kyed, D. & Nest, R., Jan 2024, In: Bulletin of the London Mathematical Society. 56, 1, p. 288-295Research output: Contribution to journal › Journal article › Research › peer-review
Open AccessFile54 Downloads (Pure) -
A Comparison of Two Quantum Distances
Kaad, J. & Kyed, D., Mar 2023, In: Mathematical Physics, Analysis and Geometry. 26, 1, 9 p., 8.Research output: Contribution to journal › Journal article › Research › peer-review
Open AccessFile58 Downloads (Pure)
Activities
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Noncommutative metric geometry
Kyed, D. (Speaker)
16. Dec 2024Activity: Talks and presentations › Conference presentations
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Current trends in non-commutative metric geometry
Kyed, D. (Speaker)
17. Jan 2023Activity: Talks and presentations › Conference presentations
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Finiteness of metrics on state spaces
Kyed, D. (Speaker)
2023Activity: Talks and presentations › Conference presentations
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An introduction to quantum metrics on q-deformed spaces
Kyed, D. (Speaker)
13. Dec 2022Activity: Talks and presentations › Guest lectures, external teaching and course activities at other universities
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An introduction to compact quantum metric spaces
Kyed, D. (Speaker)
29. Sept 2022Activity: Talks and presentations › Conference presentations
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MSCA Staff Exchanges: Operator algebras that one can see
Kyed, D. (Project participant)
01/01/2023 → 31/12/2026
Project: EU
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EU - Horizon Europe - MRC - Staff exchange - Graph Algebras
Kyed, D. (Coordinator)
01/01/2023 → 31/12/2026
Project: EU
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Independent Research Fund Denmark - Operator Algebras, Groups, and Quantum Spaces
Kyed, D. (Co-PI), Kaad, J. (Co-PI), Szymanski, W. (Co-PI), Eilers, S. (Co-PI), Rørdam, M. (PI), Musat, M. E. (Co-PI), Gabe, J. (Co-PI) & Törnquist, A. (Co-PI)
01/07/2021 → 31/12/2025
Project: Research Councils
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Independent Research Fund Denmark - Automorphisms and Invariants of Operator Algebras
Kyed, D. (Co-PI), Szymanski, W. (PI), Kaad, J. (Co-PI), Eilers, S. (Co-PI), Törnquist, A. (Co-PI), Nest, R. (Co-PI), Thomsen, K. (Co-PI) & Thorbjørnsen, S. (Co-PI)
01/09/2017 → 01/09/2024
Project: Research Councils
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Independent Research Fund Denmark - Classical and Quantum Distances
Kyed, D. (PI) & Kaad, J. (Co-PI)
01/09/2019 → 31/08/2024
Project: Research