Example of Baum-Connes isomorphism for the pure braid group on four strands

17.07.2020, 10:00  –  Zoom Meeting
Arbeitsgruppenseminar Analysis

Sara Azzali (Hamburg University)

The Baum--Connes conjecture predicts an isomorphism between two objects associated with a discrete countable group. The first one is topological in nature and involves a classifying space for proper actions, the second one is analytic and involves the $K$-theory of a group $C^*$-algebra. We give some examples of explicit computations, in particular for certain braid groups. For this class of groups, the conjecture is already known to be true in by results of Oyono-Oyono, Schick, Chabert--Echteroff.
This is joint work with Sarah Browne, Maria Paula Gomez Aparicio, Lauren Ruth and Hang Wang.

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