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A Note on Gluing Dirac Type Operators on a Mirror Quantum Two-Sphere
Symmetry, integrability and geometry: methods and applications, Tome 10 (2014) Cet article a éte moissonné depuis la source Math-Net.Ru

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The goal of this paper is to introduce a class of operators, which we call quantum Dirac type operators on a noncommutative sphere, by a gluing construction from copies of noncommutative disks, subject to an appropriate local boundary condition. We show that the resulting operators have compact resolvents, and so they are elliptic operators.
Keywords: Dirac type operator; quantum space, $C^*$-algebra. 
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     author = {Slawomir Klimek and Matt McBride},
     title = {A {Note} on {Gluing} {Dirac} {Type} {Operators} on {a~Mirror} {Quantum} {Two-Sphere}},
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Slawomir Klimek; Matt McBride. A Note on Gluing Dirac Type Operators on a Mirror Quantum Two-Sphere. Symmetry, integrability and geometry: methods and applications, Tome 10 (2014). http://geodesic.mathdoc.fr/item/SIGMA_2014_10_a35/

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