6 papers
W*-superrigidity for discrete quantum groups
Milan Donvil, Stefaan Vaes
A discrete group is called W*-superrigid if the group can be entirely recovered from the ambient group von Neumann algebra . We introduce an analogous notion for disc…
W*-superrigidity for groups with infinite center
Milan Donvil, Stefaan Vaes
We construct discrete groups with infinite center that are nevertheless W*-superrigid, meaning that the group von Neumann algebra fully remembers the group . We obtai…
W*-correlations of II factors and rigidity of tensor products and graph products
Daniel Drimbe, Stefaan Vaes
A variant of Gromov's notion of measure equivalence for groups has been introduced for II factors under different names. We propose the terminology of W*-correlated II fact…
Factoriality of twisted locally compact group von Neumann algebras
Stefaan Vaes
In this short note, we construct an exotic example of a locally compact group with a Borel -cocycle such that the non-twisted group von Neumann algebra is a fact…
Borel fields and measured fields of Polish spaces, Banach spaces, von Neumann algebras and C*-algebras
Stefaan Vaes, Lise Wouters
Several recent articles in operator algebras make a nontrivial use of the theory of measurable fields of von Neumann algebras and related structures. This include…
W*-superrigidity for cocycle twisted group von Neumann algebras
Milan Donvil, Stefaan Vaes
We construct countable groups with the following new degree of W*-superrigidity: if is virtually isomorphic, in the sense of admitting a bifinite bimodule, with any othe…