Quantum even spheres Sigma_q^2n from Poisson double suspension
  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. 
F. Bonechi (1 and 2), N. Ciccoli (3) and M. Tarlini (1 and 2) ((1)   INFN Sezione di Firenze, (2) Dipartimento di Fisica, Un...