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A VON NEUMANN ALGEBRA CHARACTERIZATION OF PROPERTY (T) FOR GROUPOIDS

  • MARTINO LUPINI (a1)

Abstract

For an arbitrary discrete probability-measure-preserving groupoid  $G$ , we provide a characterization of property (T) for $G$ in terms of the groupoid von Neumann algebra $L(G)$ . More generally, we obtain a characterization of relative property (T) for a subgroupoid $H\subset G$ in terms of the inclusions $L(H)\subset L(G)$ .

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Copyright

Footnotes

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The author was partially supported by the NSF Grant DMS-1600186.

Footnotes

References

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A VON NEUMANN ALGEBRA CHARACTERIZATION OF PROPERTY (T) FOR GROUPOIDS

  • MARTINO LUPINI (a1)

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