\(W^\ast\)-superrigidity of mixing Gaussian actions of rigid groups

DOI10.1016/j.aim.2013.05.012zbMath1288.46036arXiv1209.6227OpenAlexW2003026737MaRDI QIDQ2437405

Rémi Boutonnet

Publication date: 3 March 2014

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.6227

zbMATH Keywords

deformation/rigidity theory\(\mathrm{II}_1\) factors\(W^\ast \)-superrigidityGaussian actions

Mathematics Subject Classification ID

Geometric group theory (20F65) General theory of von Neumann algebras (46L10) Noncommutative dynamical systems (46L55)

Related Items (10)

Unitary conjugacy for type III subfactors and \(W^\ast\)-superrigidity ⋮ OEandW* superrigidity results for actions by surface braid groups ⋮ Note on bi-exactness for creation operators on Fock spaces ⋮ First \(\ell^2\)-Betti numbers and proper proximality ⋮ Rigidity results for von Neumann algebras arising from mixing extensions of profinite actions of groups on probability spaces ⋮ W∗-superrigidity for coinduced actions ⋮ Cocycle and orbit equivalence superrigidity for coinduced actions ⋮ Some rigidity results for \(II_1\) factors arising from wreath products of property (T) groups ⋮ Nonsingular Gaussian actions: beyond the mixing case ⋮ \(\mathrm{W}^\ast\)-superrigidity for arbitrary actions of central quotients of braid groups

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