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math.OA2022
On the structure of relatively biexact group von Neumann algebras
Changying Ding, Srivatsav Kunnawalkam Elayavalli
Using computations in the bidual of we develop a new technique at the von Neumann algebra level to upgrade relative proper proximality to full proper proximality…
math.OA2022
Remarks on the diagonal embedding and strong 1-boundedness
Srivatsav Kunnawalkam Elayavalli
We identify a large class of hyperbolic groups whose von Neumann algebras are not strongly 1-bounded: Sela's hyperbolic towers over subgroups. We also show that any intermedi…
math.OA2022
Properly Proximal von Neumann Algebras
Changying Ding, Srivatsav Kunnawalkam Elayavalli, Jesse Peterson
We introduce the notion of proper proximality for finite von Neumann algebras, which naturally extends the notion of proper proximality for groups. Apart from the group von Neumann…