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

Stefaan Vaes

doi:10.1007/s11511-012-0079-1

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Home > Journals > Acta Math. > Volume 208 > Issue 2 > Article

2012 An inner amenable group whose von Neumann algebra does not have property Gamma

Stefaan Vaes

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Stefaan Vaes¹
¹Department of Mathematics, KU Leuven

Acta Math. 208(2): 389-394 (2012). DOI: 10.1007/s11511-012-0079-1

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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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Stefaan Vaes. "An inner amenable group whose von Neumann algebra does not have property Gamma." Acta Math. 208 (2) 389 - 394, 2012. https://doi.org/10.1007/s11511-012-0079-1