Reference : Equivariant K-homology for hyperbolic reflection groups |

Scientific journals : Article | |||

Physical, chemical, mathematical & earth Sciences : Mathematics | |||

http://hdl.handle.net/10993/32784 | |||

Equivariant K-homology for hyperbolic reflection groups | |

English | |

Lafont, Jean-Francois [The Ohio State University] | |

Ortiz, Ivonne [Miami University, Oxford, OH 45056, USA] | |

Rahm, Alexander [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >] | |

Sanchez-Garcia, Ruben [University of Southampton] | |

1-Dec-2018 | |

The Quarterly Journal of Mathematics | |

Oxford University Press | |

69 | |

4 | |

1475-1505 | |

Yes | |

International | |

0033-5606 | |

1464-3847 | |

Oxford | |

England, UK | |

[en] We compute the equivariant K-homology of the classifying space for proper actions, for cocompact 3-dimensional hyperbolic reflection groups.
This coincides with the topological K-theory of the reduced C*-algebra associated to the group, via the Baum-Connes conjecture. We show that, for any such reflection group, the associated K-theory groups are torsion-free. This means that we can complete previous computations with rational coefficients to get results with integral coefficients. On the way, we establish an efficient criterion for checking torsion-freeness of K-theory groups, which can be applied far beyond the scope of the present paper. | |

Gabor Wiese’s University of Luxembourg grant AMFOR | |

Researchers ; Professionals | |

http://hdl.handle.net/10993/32784 |

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