Derivations and spectral triples on quantum domains Ⅱ: Quantum annulus

作者:Slawomir Klimek; Matt Mc Bride*; Sumedha Rathnayake
来源:Science China Mathematics, 2019, 62(12): 2463-2486.

摘要

Continuing our study of spectral triples on quantum domains, we look at unbounded invariant and covariant derivations in the quantum annulus. In particular, we investigate whether such derivations can be implemented by operators with compact parametrices, a necessary condition in the definition of a spectral triple.