2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/122510We explain the notion of minimality for an equivariant spectral triple and show that the triple for the quantum SU(2) group constructed by Chakraborty and Pal is minimal. We also give a decomposition of the spectral triple constructed by Dabrowski et al in terms of this minimal triple.v2: final version, LaTeX2e, 12 pagesQuantum AlgebraK-Theory and HomologyOperator Algebras58B34; 46L87; 19K33On equivariant Dirac operators for $SU_q(2)$text