A Note on Gluing Dirac Type Operators on a Mirror Quantum Two-Sphere

Symmetry Integrability and Geometry-Methods and Applications

article

Slawomir Klimek¹  Matt McBride² 

[1] Department of Mathematical Sciences, Indiana University-Purdue University Indianapolis;Department of Mathematics, University of Oklahoma

关键词: Dirac type operator;    quantum space;    C ∗ -algebra;   

DOI  :  10.3842/SIGMA.2014.036

来源: National Academy of Science of Ukraine

【 摘 要 】

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.

【 授权许可】

Unknown