Journal article
Wreath-like products of groups and their von Neumann algebras I: W^∗-superrigidity
Annals of mathematics, Vol.198(3), pp.1261-1303
11/01/2023
DOI: 10.4007/annals.2023.198.3.6
Abstract
We introduce a new class of groups called wreath-like products. These groups are close relatives of the classical wreath products and arise naturally in the context of group theoretic Dehn filling. Unlike ordinary wreath products, many wreath-like products have Kazhdan’s property (T). In this paper, we prove that any group G in a natural family of wreath-like products with property (T) is W∗ -superrigid: the group von Neumann algebra L(G) remembers the isomorphism class of G . This allows us to provide the first examples (in fact, 2ℵ0 pairwise non-isomorphic examples) of W∗ -superrigid groups with property (T).
Details
- Title: Subtitle
- Wreath-like products of groups and their von Neumann algebras I: W^∗-superrigidity
- Creators
- Ionuţ Chifan - University of IowaAdrian Ioana - University of California, San DiegoDenis Osin - Vanderbilt UniversityBin Sun - University of Oxford
- Resource Type
- Journal article
- Publication Details
- Annals of mathematics, Vol.198(3), pp.1261-1303
- DOI
- 10.4007/annals.2023.198.3.6
- ISSN
- 0003-486X
- eISSN
- 1939-8980
- Language
- English
- Date published
- 11/01/2023
- Academic Unit
- Mathematics
- Record Identifier
- 9984503054602771
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