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A VON NEUMANN ALGEBRA CHARACTERIZATION OF PROPERTY (T) FOR GROUPOIDS
Published online by Cambridge University Press: 21 December 2018
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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- Research Article
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- © 2018 Australian Mathematical Publishing Association Inc.
Footnotes
The author was partially supported by the NSF Grant DMS-1600186.