Rigidity of free product von Neumann algebras
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Publication:5360252
DOI10.1112/S0010437X16007673zbMath1379.46046arXiv1507.02157OpenAlexW771103721MaRDI QIDQ5360252
Yoshimichi Ueda, Cyril Houdayer
Publication date: 28 September 2017
Published in: Compositio Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1507.02157
type III factorsultraproduct von Neumann algebrasproperty gammaPopa's deformation/rigidity theoryfree product von Neumann algebras
General theory of von Neumann algebras (46L10) Classification of factors (46L36) Free products of (C^*)-algebras (46L09)
Related Items (20)
Unitary conjugacy for type III subfactors and \(W^\ast\)-superrigidity ⋮ Fullness and Connes' \(\tau\) invariant of type III tensor product factors ⋮ Unique prime factorization and bicentralizer problem for a class of type III factors ⋮ \(\mathrm{W}^*\)-rigidity paradigms for embeddings of \(\mathrm{II}_1\) factors ⋮ Measure equivalence rigidity via s-malleable deformations ⋮ Asymptotic structure of free product von Neumann algebras ⋮ Non-isomorphism of \(A^{\ast n}\), \(2\leq n \leq \infty \), for a non-separable abelian von Neumann algebra \(A\) ⋮ Unique prime factorization for infinite tensor product factors ⋮ ON FUNDAMENTAL GROUPS OF TENSOR PRODUCT FACTORS ⋮ Amalgamated free product rigidity for group von Neumann algebras ⋮ Product rigidity in von Neumann and \(C^*\)-algebras via \(S\)-malleable deformations ⋮ Solidity of type III Bernoulli crossed products ⋮ Bi-exact groups, strongly ergodic actions and group measure space type III factors with no central sequence ⋮ Some rigidity results for \(II_1\) factors arising from wreath products of property (T) groups ⋮ Factoriality, Connes' type III invariants and fullness of amalgamated free product von Neumann algebras ⋮ II1 FACTORS WITH EXOTIC CENTRAL SEQUENCE ALGEBRAS ⋮ Boundary and rigidity of nonsingular Bernoulli actions ⋮ Structure of extensions of free Araki-Woods factors ⋮ Classification of a family of non-almost-periodic free Araki-Woods factors ⋮ A free product pair rigidity result in von Neumann algebras
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