• Corpus ID: 253447111

An upgrading theorem for properly proximal von Neumann algebras

@inproceedings{Ding2022AnUT,
  title={An upgrading theorem for properly proximal von Neumann algebras},
  author={Changying Ding and Srivatsav Kunnawalkam Elayavalli},
  year={2022}
}
. Using computations in the bidual of B ( L 2 M ) we develop a technique at the von Neumann algebra level to upgrade relative proper proximality to full proper proximality in the presence of some mixing and non co-amenability assumptions. This is used to classify subalgebras of L Γ where Γ is an infinite group that is biexact relative to a finite family of subgroups { Λ i } i ∈ I such that each Λ i is almost malnormal in Γ. As an application we obtain an absorption theorem for free products in… 
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