HNN extensions and unique group measure space decomposition of II$_{1}$ factors
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Publication:5390253
DOI10.1090/S0002-9947-2012-05415-8zbMath1251.46032arXiv1005.5002MaRDI QIDQ5390253
Publication date: 27 April 2012
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1005.5002
Free probability and free operator algebras (46L54) Noncommutative dynamical systems (46L55) General groups of measure-preserving transformations (28D15) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Classification of factors (46L36)
Related Items (18)
OEandW* superrigidity results for actions by surface braid groups ⋮ Some unique group-measure space decomposition results ⋮ A class of groups for which every action is W\(^\ast\)-superrigid ⋮ Type III factors with unique Cartan decomposition ⋮ Bivariant \(K\)-theory with \(\mathbb{R}/\mathbb{Z}\)-coefficients and rho classes of unitary representations ⋮ One-cohomology and the uniqueness of the group measure space decomposition of a II\(_{1}\) factor ⋮ Uniqueness of the group measure space decomposition for Popa's \({\mathcal{HT}}\) factors ⋮ A note on the von Neumann algebra of a Baumslag-Solitar group ⋮ 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 ⋮ A class of II\(_{1}\) factors with many non conjugate Cartan subalgebras ⋮ Graphs of quantum groups and \(K\)-amenability ⋮ W∗-superrigidity for coinduced actions ⋮ Cocycle and orbit equivalence superrigidity for coinduced actions ⋮ Unbounded derivations, free dilations, and indecomposability results for II$_1$ factors ⋮ 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 ⋮ New examples of \({W}^\ast\) and \({C}^\ast \)-superrigid groups
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