Equivariant Morita equivalences between Podleś spheres
Volume 98 / 2012
Banach Center Publications 98 (2012), 85-105
MSC: 17B37, 81R50, 46L08.
DOI: 10.4064/bc98-0-5
Abstract
We show that the family of Podleś 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.
