English

Borel reducibility and classification of von Neumann algebras

Logic 2022-07-05 v1 Operator Algebras

Abstract

We announce some new results regarding the classification problem for separable von Neumann algebras. Our results are obtained by applying the notion of Borel reducibility and Hjorth's theory of turbulence to the isomorphism relation for separable von Neumann algebras.

Keywords

Cite

@article{arxiv.0909.2657,
  title  = {Borel reducibility and classification of von Neumann algebras},
  author = {Roman Sasyk and Asger Tornquist},
  journal= {arXiv preprint arXiv:0909.2657},
  year   = {2022}
}