It is shown that the algebra of continuous functions on the quantum -dimensional lens space is a graph -algebra, for arbitrary positive weights . The form of the corresponding graph is determined from the skew product of the graph which defines the algebra of continuous functions on the quantum sphere and the cyclic group , with the labelling induced by the weights. Based on this description, the -groups of specific examples are computed. Furthermore, the -groups of the algebras of continuous functions on quantum weighted projective spaces , interpreted as fixed points under the circle action on , are computed under a mild assumption on the weights.
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Tomasz Brzeziński, Wojciech Szymański, The -algebras of quantum lens and weighted projective spaces. J. Noncommut. Geom. 12 (2018), no. 1, pp. 195–215DOI 10.4171/JNCG/274