We review the formulation and proof of the Baum-Connes conjecture for the dual of the quantum group of Woronowicz. As an illustration of this result we determine the K-groups of quantum automorphism groups of simple matrix algebras.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc98-0-17, author = {Christian Voigt}, title = {Quantum SU(2) and the Baum-Connes conjecture}, journal = {Banach Center Publications}, volume = {97}, year = {2012}, pages = {417-432}, zbl = {1328.46065}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc98-0-17} }
Christian Voigt. Quantum SU(2) and the Baum-Connes conjecture. Banach Center Publications, Tome 97 (2012) pp. 417-432. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc98-0-17/