W*-rigidity of groups occurs when the group von Neumann algebra remembers the structure or certain properties of the group. We focus on W*-rigidity of non-ICC groups and consider the direct product of an infinite abelian group and a group from a class of W*-superrigid wreath-like product groups. This gives the first examples of groups with infinite center recognizable from their von Neumann algebras, up to the center. This is joint work with Ionut Chifan and Adriana Fernandez I Quero.

Bio: Hui Tan is a Chinese PhD student at the University of California, San Diego, under the supervision of Adrian Ioana. Her research primarily concerns the classification and rigidity of von Neumann algebras.