Some unique group-measure space decomposition results

DOI10.1215/00127094-2331230zbMath1284.46050arXiv1010.5194OpenAlexW2134009989MaRDI QIDQ364192

Ionut Chifan, Jesse Peterson

Publication date: 5 September 2013

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.5194

zbMATH Keywords

von Neumann algebras\(W^{\ast}\)-superrigid actionsclosable derivationsmeasure-preserving action

Mathematics Subject Classification ID

General groups of measure-preserving transformations and dynamical systems (37A15) Classification of factors (46L36)

Related Items (16)

OEandW* superrigidity results for actions by surface braid groups ⋮ Uniqueness of the group measure space decomposition for Popa's \({\mathcal{HT}}\) factors ⋮ Invariant subalgebras of von Neumann algebras arising from negatively curved groups ⋮ Properly proximal von Neumann algebras ⋮ First \(\ell^2\)-Betti numbers and proper proximality ⋮ Compact actions and uniqueness of the group measure space decomposition of II\(_{1}\) factors ⋮ Rigidity results for von Neumann algebras arising from mixing extensions of profinite actions of groups on probability spaces ⋮ On the structural theory of \(\mathrm{II}_1\) factors of negatively curved groups. II: Actions by product groups ⋮ A class of II\(_{1}\) factors with many non conjugate Cartan subalgebras ⋮ W∗-superrigidity for coinduced actions ⋮ Some OE- and \(W^{\ast}\)-rigidity results for actions by wreath product groups ⋮ Unique Cartan decomposition for \(\mathrm{II}_1\) factors arising from arbitrary actions of free groups ⋮ Cocycle and orbit equivalence superrigidity for coinduced actions ⋮ Some rigidity results for \(II_1\) factors arising from wreath products of property (T) groups ⋮ W*-superrigidity for wreath products with groups having positive first ℓ²-Betti number ⋮ \(\mathrm{W}^\ast\)-superrigidity for arbitrary actions of central quotients of braid groups

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