English

An inner amenable group whose von Neumann algebra does not have property Gamma

Operator Algebras 2012-06-25 v1 Group Theory

Abstract

We construct inner amenable groups G with infinite conjugacy classes and such that the associated II_1 factor does not have property Gamma of Murray and von Neumann. This solves a problem posed by Effros in 1975.

Keywords

Cite

@article{arxiv.0909.1485,
  title  = {An inner amenable group whose von Neumann algebra does not have property Gamma},
  author = {Stefaan Vaes},
  journal= {arXiv preprint arXiv:0909.1485},
  year   = {2012}
}
R2 v1 2026-06-21T13:43:56.199Z