Factoriality, type classification and fullness for free product von Neumann algebras
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Publication:645214
DOI10.1016/j.aim.2011.07.017zbMath1252.46059arXiv1011.5017OpenAlexW2028188838MaRDI QIDQ645214
Publication date: 8 November 2011
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1011.5017
General theory of von Neumann algebras (46L10) Classification of factors (46L36) Free products of (C^*)-algebras (46L09)
Related Items (24)
Unitary conjugacy for type III subfactors and \(W^\ast\)-superrigidity ⋮ A characterization of the fullness of continuous cores of type \(\mathrm{III}_{1}\) free product factors ⋮ Existentially closed \(\mathrm{W}^*\)-probability spaces ⋮ Free independence in ultraproduct von Neumann algebras and applications ⋮ Free products in AQFT ⋮ Operator algebras of free wreath products ⋮ Rigidity of free product von Neumann algebras ⋮ Asymptotic structure of free product von Neumann algebras ⋮ Graph product Khintchine inequalities and Hecke \(C^\ast \)-algebras: Haagerup inequalities, (non)simplicity, nuclearity and exactness ⋮ Unique prime factorization for infinite tensor product factors ⋮ Orbital free pressure and its Legendre transform ⋮ Absence of Cartan subalgebras in continuous cores of free product von Neumann algebras ⋮ Gamma stability in free product von Neumann algebras ⋮ Free products of finite-dimensional and other von Neumann algebras in terms of free Araki-Woods factors ⋮ Ultraproducts of von Neumann algebras ⋮ Amenable absorption in amalgamated free product von Neumann algebras ⋮ Factoriality, Connes' type III invariants and fullness of amalgamated free product von Neumann algebras ⋮ Absence of Cartan subalgebras for right-angled Hecke von Neumann algebras ⋮ Structure of bicentralizer algebras and inclusions of type III factors ⋮ Structure of extensions of free Araki-Woods factors ⋮ A free product pair rigidity result in von Neumann algebras ⋮ Connes' bicentralizer problem for q‐deformed Araki–Woods algebras ⋮ Duality for optimal couplings in free probability ⋮ Amalgamated free product type III factors with at most one Cartan subalgebra
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