Non-amenable C*-superrigid groups that are not W*-superrigid

Ionut Chifan, PhD

Using techniques at the intersection of deformation/rigidity theory, geometric group theory, and the theory of C*-algebras, we construct a continuum of nonamenable groups G that can be completely reconstructed from their reduced C*-algebras C_r*(G), but not from their group von Neumann algebras L(G). Also, for a fairly large class of related groups G, we will describe all -endomorphisms of C_r(G).
This is based on a recent joint work with Juan Felipe Ariza Mejía and Adriana Fernández Quero.

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