Abstract
The quantum weighted projective algebras \(\mathbb {C}[\mathbb {W}\mathbb {P}_{k,l,q}]\) are coinvariant subalgebras of the quantum group algebra \(\mathbb {C}[SU_{2,q}]\). For each pair of indices k,l, two 2-summable spectral triples will be constructed. The first one is an odd spectral triple based on coinvariant spinors on \(\mathbb {C}[SU_{2,q}]\). The second one is an even spectral triple.
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