Quantum Real Projective Space, Disc and Spheres
by Hajac, Piotr M.; Matthes, Rainer; Szymański, Wojciech
We define the C
*-algebra of quantum real projective space R
P
q
2, 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 Z
2-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.
DOI: 10.1023/A:1023288309786
Print publication date: 5/1/2003
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