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

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Acta Mathematica

Abstract

We construct inner amenable groups G with infinite conjugacy classes and such that the associated II1 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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Authors and Affiliations

  1. Department of Mathematics, KU Leuven, Celestijnenlaan 200B, 3001, Leuven, Belgium

    Stefaan Vaes

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  1. Stefaan Vaes
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Correspondence to Stefaan Vaes.

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Vaes, S. An inner amenable group whose von Neumann algebra does not have property Gamma. Acta Math 208, 389–394 (2012). https://doi.org/10.1007/s11511-012-0079-1

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  • DOI: https://doi.org/10.1007/s11511-012-0079-1

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