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1 results

A VON NEUMANN ALGEBRA CHARACTERIZATION OF PROPERTY (T) FOR GROUPOIDS
Part of
MARTINO LUPINI
Journal:

Journal of the Australian Mathematical Society / Volume 108 / Issue 3 / June 2020

Published online by Cambridge University Press:

21 December 2018, pp. 363-386

Print publication:

June 2020
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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 $L(H)\subset L(G)$.