Derivations and Spectral Triples on Quantum Domains I: Quantum Disk

Slawomir Klimek, Matt McBride, Sumedha Rathnayake, Kaoru Sakai, Honglin Wang
2017 Symmetry, Integrability and Geometry: Methods and Applications  
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.
doi:10.3842/sigma.2017.075 fatcat:qyf6enaip5goxfcupvlxubxpey