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Operator Theory Seminar - Dulanji Narmada Nikethani Amaraweera Kalutotage; University of Iowa

Mar 5, 2024

01:30 PM - 02:30 PM

Van Allen Hall, 309

30 North Dubuque Street, Iowa City, IA 52242

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Dulanji Narmada Nikethani Amaraweera Kalutotage; University of Iowa

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.

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