Classification and rigidity for von Neumann algebras

By Adrian Ioana. 2012

50 citations recorded by the source corpus.

In this talk, I will survey recent progress made on the classification of von Neumann algebras arising from countable groups and their actions on probability spaces. In particular, I will present the first results which provide classes of (superrigid) groups and actions that can be entirely reconstructed from their von Neumann algebras.

Subfields: Algebra and Number Theory, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/3835304112a4d341397f80de13c4c33ff6dc014e

Citations in the corpus

• A random matrix approach to the Peterson-Thom conjecture (2020, unknown): “See [64, 67, 68, 38, 39] for further results, including resolutions”