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- W4298555916 abstract "It is shown that the algebra of continuous functions on the quantum $2n+1$-dimensional lens space $C(L^{2n+1}_q(N; m_0,ldots, m_n))$ is a graph $C^*$-algebra, for arbitrary positive weights $ m_0,ldots, m_n$. 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 $S_q^{2n+1}$ and the cyclic group $mathbb{Z}_N$, with the labelling induced by the weights. Based on this description, the K-groups of specific examples are computed. Furthermore, the K-groups of the algebras of continuous functions on quantum weighted projective spaces $C(mathbb{WP}_q^n(m_0,ldots, m_n))$, interpreted as fixed points under the circle action on $C(S_q^{2n+1})$, are computed under a mild assumption on the weights." @default.
- W4298555916 created "2022-10-02" @default.
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- W4298555916 date "2016-03-14" @default.
- W4298555916 modified "2023-09-23" @default.
- W4298555916 title "The $C^*$-algebras of quantum lens and weighted projective spaces" @default.
- W4298555916 doi "https://doi.org/10.48550/arxiv.1603.04678" @default.
- W4298555916 hasPublicationYear "2016" @default.
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