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L2-invisibility and a class of local similarity groups

L2-invisibility and a class of local similarity groups
Datum:

18.04.2013

Ort:

Raum 1C-04 
im Allianzgebäude (05.20)  

Referent:

Werner Thumann 

Zeit:

14:00 Uhr

In this talk we present a certain class of local similarity groups which are L^2-invisible, i.e. the (non-reduced) group homology of the regular unitary representation vanishes in all degrees. This class contains groups of type FP_\infty, e.g. Thompson's group V and Nekrashevych-Röver groups. They yield counterexamples to a generalized zero-in-the-spectrum conjecture for groups of type FP_\infty. This is joint work with Roman Sauer.