"Geometry and Analysis on Groups" Research Seminar

Time: 2018.10.16, 15:00–17:00
Location: Seminarraum 8, Oskar-Morgenstern-Platz 1, 2.Stock
Title: "Attacking the Baum-Connes conjecture for certain direct limits."
Speaker: Martin Finn-Sell (Universität Wien)
Abstract: In this talk, I will recap how counterexamples to generalised forms of the conjecture are constructed using an idea going back to Higson - I will describe briefly how this streamlines, and what is left over. I will then introduce several classes of groups, containing the counterexamples described above, in which the left over parts of Higson's ideas can be generalised to produce positive results. Along the way, I will also give a criterion that links together many analytic properties that are important for the conjecture, notably rapid decay, property (A) and \(C^*\)–simplicity for certain direct limits that converge in some reasonable geometric sense.