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/