Quantum Real Projective Space, Disc and Spheres
- Cite this article as:
- Hajac, P.M., Matthes, R. & Szymański, W. Algebras and Representation Theory (2003) 6: 169. doi:10.1023/A:1023288309786
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We define the C*-algebra of quantum real projective space RPq2, classify its irreducible representations, and compute its K-theory. We also show that the q-disc of Klimek and Lesniewski can be obtained as a non-Galois Z2-quotient of the equator Podleś quantum sphere. On the way, we provide the Cartesian coordinates for all Podleś quantum spheres and determine an explicit form of isomorphisms between the C*-algebras of the equilateral spheres and the C*-algebra of the equator one.