## Abstract

It is shown that the algebra of continuous functions on the quantum 2nC1-dimensional lens space C(L2n+1q (N;m
_{0},...mn)) is a graph C∗-algebra, for arbitrary positive weights m
_{0},...mn. 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 S2nC1 q and the cyclic group ZN, 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(WPn q (mm
_{0},...mn)), interpreted as fixed points under the circle action on C(S2nC1q), are computed under a mild assumption on the weights.

Original language | English |
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Journal | Journal of Noncommutative Geometry |

Volume | 12 |

Issue number | 1 |

Pages (from-to) | 195-215 |

ISSN | 1661-6952 |

DOIs | |

Publication status | Published - 2018 |

## Keywords

- quantum lens space
- quantum weighted projective space
- graph C*-algebra
- Quantum lens space
- Graph C∗-algebra
- Quantum weighted projective space