Quantum Real Projective Space, Disc and Sphere

Details Quantum Real Projective Space, Disc and Sphere Quantum Real Projective Space, Disc and Sphere

2000-09-20

arxiv.org/abs/math/0009185v1

Mathematics

Quantum Algebra

22 pages in plain LATEX

Scientific paper

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-Lesniewski can be obtained as a non-Galois $\Z_2$-quotient of the equator Podle\'s quantum sphere. On the way, we provide the Cartesian coordinates for all Podle\'s 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.

Affiliated with

Also associated with

No associations

Rating

Quantum Real Projective Space, Disc and Sphere does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Quantum Real Projective Space, Disc and Sphere, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantum Real Projective Space, Disc and Sphere will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-367781