Amalgamated free product type III factors with at most one Cartan subalgebra
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Publication:2877484
DOI10.1112/S0010437X13007537zbMath1308.46067arXiv1212.4994OpenAlexW2086159982MaRDI QIDQ2877484
Sven Raum, Rémi Boutonnet, Cyril Houdayer
Publication date: 22 August 2014
Published in: Compositio Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1212.4994
noncommutative flow of weightsamalgamated free productsCartan subalgebrasdeformation/rigidity theorynonsingular equivalence relations
Free probability and free operator algebras (46L54) General theory of von Neumann algebras (46L10) Nonsingular (and infinite-measure preserving) transformations (37A40) Free products of (C^*)-algebras (46L09)
Related Items
Tensor product decompositions of \(\mathrm{II}_1\) factors arising from extensions of amalgamated free product groups, Operator algebras of free wreath products, Rigidity of free product von Neumann algebras, Asymptotic structure of free product von Neumann algebras, Cartan subalgebras of tensor products of free quantum group factors with arbitrary factors, Unique prime factorization for infinite tensor product factors, Normalizers inside amalgamated free product von Neumann algebras, Asymptotic structure of free Araki-Woods factors, Some prime factorization results for free quantum group factors, Absence of Cartan subalgebras in continuous cores of free product von Neumann algebras, 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, CCAP for universal discrete quantum groups, Strongly ergodic equivalence relations: spectral gap and type III invariants, Structure of extensions of free Araki-Woods factors
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