Klimek, SlawomirMcBride, Matt2022-04-012022-04-012020-04Klimek, S., & McBride, M. (2020). Dirac type operators on the quantum solid torus with global boundary conditions. Journal of Mathematical Analysis and Applications, 484(1), 123690. https://doi.org/10.1016/j.jmaa.2019.123690https://hdl.handle.net/1805/28379We define a noncommutative space we call the quantum solid torus. It is an example of a noncommutative manifold with a noncommutative boundary. We study quantum Dirac type operators subject to Atiyah-Patodi-Singer like boundary conditions on the quantum solid torus. We show that such operators have compact inverse, which means that the corresponding boundary value problem is elliptic.enPublisher Policynoncommutative geometryDirac operatorsAPS boundary conditionsArticle