Lupini, Martino (2017) A von Neumann algebra characterization of property (T) for groupoids. . (Submitted) https://resolver.caltech.edu/CaltechAUTHORS:20180410-085710199
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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).
| Item Type: | Report or Paper (Discussion Paper) | ||||||
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| Additional Information: | The author was partially supported by the NSF Grant DMS-1600186. | ||||||
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| Subject Keywords: | Groupoid, von Neumann algebra, property (T), Kazhdan groupoid, bimodule, cohomology, representation | ||||||
| Classification Code: | 2000 Mathematics Subject Classification. Primary 20L05, 46L10; Secondary 37A15. | ||||||
| Record Number: | CaltechAUTHORS:20180410-085710199 | ||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20180410-085710199 | ||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
| ID Code: | 85716 | ||||||
| Collection: | CaltechAUTHORS | ||||||
| Deposited By: | Tony Diaz | ||||||
| Deposited On: | 10 Apr 2018 16:07 | ||||||
| Last Modified: | 03 Oct 2019 19:34 |
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