PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

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