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 inclusions L(H)⊂L(G).
Lupini M (2020). A VON NEUMANN ALGEBRA CHARACTERIZATION OF PROPERTY (T) FOR GROUPOIDS. JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 108(3), 363-386 [10.1017/S144678871800040X].
A VON NEUMANN ALGEBRA CHARACTERIZATION OF PROPERTY (T) FOR GROUPOIDS
Lupini M
2020
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 inclusions L(H)⊂L(G).File in questo prodotto:
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kazhdan-groupoids-J-Aust-revised (002).pdf
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