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Published April 10, 2018 | Submitted
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A von Neumann algebra characterization of property (T) for groupoids

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⊂G in terms of the inclusion L(H)⊂L(G).

Additional Information

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

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Created:
August 19, 2023
Modified:
October 18, 2023