Browsing by Subject "invariant and covariant derivations"

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    Derivations and Spectral Triples on Quantum Domains I: Quantum Disk
    (2017) Klimek, Slawomir; McBride, Matt; Rathnayake, Sumedha; Sakai, Kaoru; Wang, Honglin; Mathematical Sciences, School of Science
    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.
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    A Note on Spectral Triples on the Quantum Disk
    (National Academy of Science of Ukraine, 2019) Klimek, Slawomir; McBride, Matt; Peoples, John Wilson; Mathematical Sciences, School of Science
    By modifying the ideas from our previous paper [SIGMA 13 (2017), 075, 26 pages, arXiv:1705.04005], we construct spectral triples from implementations of covariant derivations on the quantum disk.