Characterisations of group C*-algebras

08/02/2019, 14:00 - 15:00 in MAP/0G/018

Lin Ying-fen (Queen’s University Belfast)


Abstract:

Given a locally compact group G, it is known that its group C*-algebra can be defined by taking the completion of L1(G) with respect to the C*-norm given by the irreducible unitary representations of the group. However, if the group is not abelian, there is no known concrete description of its group C*-algebra. In my talk, I will first introduce the group C*-algebras and give a survey on classes of groups whose C*-algebras are explicitly described.

Mathematical Sciences Research Centre