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