Relative Solidity Results for II_1 factors associated with relative hyperbolic groups and their applications to computation of II_1 factors invariants

Dulanji Narmada Nikethani Amaraweera Kalutotage; University of Iowa

In my upcoming presentation, I will discuss some remarks on relative solidity for von Neumann algebras associated with large classes of relative hyperbolic groups. I will also explain the group-theoretic and deformation\ rigidity techniques we used to derive these results. These structural outcomes offer new insights into some well-known primeness questions for von  Neumann algebras. Finally, I will demonstrate some computations of invariants as an application to our solidity results.