Equivariant Morita equivalences between Podles' spheres

Details Equivariant Morita equivalences between Podles' spheres Equivariant Morita equivalences between Podles' spheres

2011-02-24

arxiv.org/abs/1102.4990v1

Mathematics

Quantum Algebra

20 pages

Scientific paper

We show that the family of Podles' spheres is complete under equivariant Morita equivalence (with respect to the action of quantum SU(2)), and determine the associated orbits. We also give explicit formulas for the actions which are equivariantly Morita equivalent with the quantum projective plane. In both cases, the computations are made by examining the localized spectral decomposition of a generalized Casimir element.

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