Tensor product decompositions of II${}_1$ factors arising from extensions of amalgamated free product groups

Ionuţ Chifan, Rolando de Santiago, Wanchalerm Sucpikarnon

In this paper we introduce a new family of icc groups $\Gamma$ which satisfy the following product rigidity phenomenon, discovered in [DHI16] (see also [dSP17]): all tensor product deco…