Quantum even spheres Sigma_q^2n from Poisson double suspension

Details Quantum even spheres Sigma_q^2n from Poisson double suspension Quantum even spheres Sigma_q^2n from Poisson double suspension

2002-11-29

arxiv.org/abs/math/0211462v1

Commun.Math.Phys.243:449-459,2003

Mathematics

Quantum Algebra

13 pages; LaTeX 2e

Scientific paper

10.1007/s00220-003-0971-9

We define even dimensional quantum spheres Sigma_q^2n that generalize to higher dimension the standard quantum two-sphere of Podle's and the four-sphere Sigma_q^4 obtained in the quantization of the Hopf bundle. The construction relies on an iterated Poisson double suspension of the standard Podle's two-sphere. The Poisson spheres that we get have the same symplectic foliation consisting of a degenerate point and a symplectic plane and, after quantization, have the same C^*-algebraic completion. We investigate their K-homology and K-theory by introducing Fredholm modules and projectors.

Affiliated with

Also associated with

No associations

Rating

Quantum even spheres Sigma_q^2n from Poisson double suspension 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 even spheres Sigma_q^2n from Poisson double suspension, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantum even spheres Sigma_q^2n from Poisson double suspension will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-91818