Operator Theory Seminar
A group G is $W^*$-superrigid (resp. $C^*$-superrigid) if it can be completely reconstructed from its von Neumann algebra $L(G)$ (resp. reduced $C^*$-algebra, $C^*_r(G)$). Producing such examples is a very important problem in operator algebras as it distills the very classification of these objects. While this problem can be traced all the way to the pioneers of the field, currently only a few classes of $W^*$-superrigid and $C^*$-superrigid groups are currently known in the literature. In my talk I will highlight new constructions of $W^*$ and $C^*$-superrigid groups arising from various families of co-induced groups. This is based on a very recent joint work with Alec Diaz-Arias and Daniel Drimbe.