Noncommutative Geometry Seminar

Date: October 2, 2019

Time: 2:00PM - 3:00PM

Location: BLOC 628

Speaker: Clément Dell'Aiera, University of Hawai'i

Title: Exhaustivity of representations at infinity of Roe algebras

Abstract: Exhaustive representations were introduced by Nistor and Prudhon, motivated by characterizations of Fredholm operators and spectral theory of N-body Hamiltonians. Coarse geometry deals with the geometry at infinity of metric spaces with bounded geometry via the Roe algebra. In particular, Spakula and Willlett show how to construct a family of representations of the Roe algebra which can be thought of "the representations at infinity". We will be studying when this family is exhaustive. This is joint work with Yu Qiao.