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

Stefaan Vaes Department of Mathematics, KU Leuven

Spectral Theory and Operator Algebra mathscidoc:1701.32003

Acta Mathematica, 208, (2), 389-394, 2010.3
We construct inner amenable groups$G$with infinite conjugacy classes and such that the associated II_{1}factor has no non-trivial asymptotically central elements, i.e. does not have property Gamma of Murray and von Neumann. This solves a problem posed by Effros in 1975.
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@inproceedings{stefaan2010an,
  title={An inner amenable group whose von Neumann algebra does not have property Gamma},
  author={Stefaan Vaes},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203358532017755},
  booktitle={Acta Mathematica},
  volume={208},
  number={2},
  pages={389-394},
  year={2010},
}
Stefaan Vaes. An inner amenable group whose von Neumann algebra does not have property Gamma. 2010. Vol. 208. In Acta Mathematica. pp.389-394. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203358532017755.
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