Equivariant comparison of quantum homogeneous spaces
Operator Algebras
2013-05-06 v2 K-Theory and Homology
Abstract
We prove the deformation invariance of the quantum homogeneous spaces of the q-deformation of simply connected simple compact Lie groups over the Poisson-Lie quantum subgroups, in the equivariant KK-theory with respect to the translation action by maximal tori. This extends a result of Neshveyev-Tuset to the equivariant setting. As applications, we prove the ring isomorphism of the K-group of Gq with respect to the coproduct of C(Gq), and an analogue of the Borsuk-Ulam theorem for quantum spheres.
Cite
@article{arxiv.1109.2991,
title = {Equivariant comparison of quantum homogeneous spaces},
author = {Makoto Yamashita},
journal= {arXiv preprint arXiv:1109.2991},
year = {2013}
}
Comments
21 pages