Title: W*-superrigidity for group von Neumann algebras of left-right wreath products
Authors: Berbec, Mihaita *
Vaes, Stefaan * # ×
Issue Date: 2014
Publisher: Oxford University Press
Series Title: Proceedings of the London Mathematical Society vol:108 pages:1116-1152
Abstract: We prove that for many nonamenable groups \Gamma, including all hyperbolic groups and all nontrivial free products, the left-right wreath product group G := (Z/2Z)^(\Gamma) \rtimes (\Gamma \times \Gamma) is W*-superrigid. This means that the group von Neumann algebra LG entirely remembers G. More precisely, if LG is isomorphic with L\Lambda for an arbitrary countable group \Lambda, then \Lambda must be isomorphic with G.
ISSN: 0024-6115
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Analysis Section
* (joint) first author
× corresponding author
# (joint) last author

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