TY - JOUR
T1 - Principal fibrations from noncommutative spheres
JF - Comm. Math. Phys. 260 (2005) 203-225
Y1 - 2005
A1 - Giovanni Landi
A1 - Walter van Suijlekom
AB - We construct noncommutative principal fibrations S_\\\\theta^7 \\\\to S_\\\\theta^4 which are deformations of the classical SU(2) Hopf fibration over the four sphere. We realize the noncommutative vector bundles associated to the irreducible representations of SU(2) as modules of coequivariant maps and construct corresponding projections. The index of Dirac operators with coefficients in the associated bundles is computed with the Connes-Moscovici local index formula. The algebra inclusion $A(S_\\\\theta^4) \\\\into A(S_\\\\theta^7)$ is an example of a not trivial quantum principal bundle.
UR - http://hdl.handle.net/1963/2284
U1 - 1732
U2 - Mathematics
U3 - Mathematical Physics
ER -