The $K$-theory of the Compact Quantum Group $S{U}_q(2)$ for $q=-1$

Abstract

We determine the $K$-theory of the $C^{\ast }$-algebra $C(S{U}_{-1}(2))$ and describe its spectrum. Moreover, we exhibit a continuous $C^{\ast }$-bundle over $[-1,0)$ whose fibre at $q$ is isomorphic to $C(S{U}_q(2))$.

18 pages, numbering style changed in accordance to the final version, which will appear in Internat. J. Math

References in corpus (1)

• The Baum-Connes conjecture for free orthogonal quantum groups