For more information about this meeting, contact John Roe, Nigel Higson, Mari Royer.

Title: | Index functionals on uniform K-homology |

Seminar: | Noncommutative Geometry Seminar |

Speaker: | Alexander Engel, University of Augsburg |

Abstract: |

In 1988 John Roe generalized the Atiyah-Singer index theorem to certain non-compact manifolds (concretely, to amenable ones). In this version of the index theorem the analytical index of a Dirac operator lives in the K-theory of the nowadays so called uniform Roe algebra and then functionals on this K-group are constructed to compare the analytical index to the topological one.
In 2009 Jan Spakula constructed a uniform version of K-homology which admits an assembly map into the K-theory of the uniform Roe algebra (an analogue of the coarse Baum-Connes assembly map). The goal of this talk is to give a construction of index functionals on the uniform K-homology such that the diagram consisting of the uniform assembly map and the corresponding index functionals commutes. |

### Room Reservation Information

Room Number: | MB106 |

Date: | 09 / 05 / 2013 |

Time: | 02:30pm - 03:30pm |