Derivations and Spectral Triples on Quantum Domains I: Quantum Disk

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2017
• ISSN: 1815-0659
• Main Authors: Klimek, S., McBride, M., Rathnayake, S., Sakai, K., Wang, H.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2017
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/148777
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Derivations and Spectral Triples on Quantum Domains I: Quantum Disk / S. Klimek, M. McBride, S. Rathnayake, K. Sakai, H. Wang // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 21 назв. — англ.

We study unbounded invariant and covariant derivations on the quantum disk. In particular we answer the question whether such derivations come from operators with compact parametrices and thus can be used to define spectral triples.