** "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.