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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc98-0-5,
author = {Kenny De Commer},
title = {Equivariant Morita equivalences between Podle\'s spheres},
journal = {Banach Center Publications},
volume = {97},
year = {2012},
pages = {85-105},
zbl = {1308.46075},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc98-0-5}
}
Kenny De Commer. Equivariant Morita equivalences between Podleś spheres. Banach Center Publications, Tome 97 (2012) pp. 85-105. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc98-0-5/