On equivariant Dirac operators for $SU_q(2)$

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We 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 pages

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