• Corpus ID: 247922624

Properly Proximal von Neumann Algebras

@inproceedings{Ding2022ProperlyPV,
  title={Properly Proximal von Neumann Algebras},
  author={Changying Ding and Srivatsav Kunnawalkam Elayavalli and Jesse Peterson},
  year={2022}
}
. 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 algebras of properly proximal groups, we provide a number of additional examples, including examples in the settings of free products, crossed products, and compact quantum groups. Using this notion, we answer a question of Popa by showing that the group von Neumann algebra of a nonamenable inner amenable group… 
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