Publications and Preprints

Let $\mathcal{A}$ be the $C^{\ast}$-algebra associated with $SU_q (2)$, $J$ be the modular conjugation coming from the Haar state and let $D$ be the generic equivariant Dirac operator for $SU_q (2)$. We prove in this article that there is no element in $J\mathcal{A}J$, other than the scalars, that have bounded commutator with $D$. This shows in particular that $J\mathcal{A}J$ does not contain any Poincar\'{e} dual for $SU_q (2)$.