Two finite, non‐hyperfinite, non‐isomorphic factors
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Publication:5340347
DOI10.1002/cpa.3160160104zbMath0131.33201OpenAlexW2128869259MaRDI QIDQ5340347
Publication date: 1963
Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/cpa.3160160104
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Expectations in von Neumann algebras ⋮ Ergodic group theory ⋮ Systèmes dynamiques non commutatifs et moyennabilité. (Non commutative dynamical systems and amenability) ⋮ The relative Dixmier property in discrete crossed products ⋮ Structure and classification of factors ⋮ Compact operators in type \(III_{\lambda}\) and type \(III_ 0\) factors. I ⋮ Asymptotically abelian {${\rm II}\sb{1}$}-factors ⋮ Le phénomène de la moyennabilité ⋮ A classification of factors ⋮ Global Structure in Von Neumann Algebras ⋮ A class of superrigid group von Neumann algebras ⋮ Fixed points of quantum operations ⋮ A remark on a construction of finite factors, I ⋮ Amenability, tubularity, and embeddings into \(\mathcal{R}^{\omega}\) ⋮ Fixed points and amenability: a counterexample ⋮ \(\mathrm{W}^*\)-rigidity paradigms for embeddings of \(\mathrm{II}_1\) factors ⋮ A splitting property for subalgebras of tensor products ⋮ Injective von Neumann Algebras ⋮ A II\(_{1}\) factor approach to the Kadison-Singer problem ⋮ Ein operatorwertiger Hahn-Banach Satz ⋮ On the relative Dixmier property for inclusions of \(C^*\)-algebras ⋮ Amenability for twisted covariance algebras and group \(C^*\)-algebras ⋮ Remote preparation of arbitrary ensembles and quantum bit commitment ⋮ Measure conjugacy invariants for actions of countable sofic groups ⋮ A class of II\(_1\) factors without property P but with zero second cohomology ⋮ Free Products of Von Neumann Algebras ⋮ Injectivity and operator spaces ⋮ On ergodic embeddings of factors ⋮ Perturbation of operator algebras ⋮ Generators of semigroups of completely positive maps ⋮ Amenability: A survey for statistical applications of hunt-stein and related conditions on groups ⋮ Some remarks on a representation of a group. II ⋮ Classification of hyperfinite factors up to completely bounded isomorphism of their preduals ⋮ On property P of von Neumann algebras ⋮ Deux nouveaux facteurs de type II\(_ 1\) ⋮ Quelques propriétés des suites centrales dans les facteurs de type II\(_ 1\) ⋮ On some extension properties of von Neumann algebras ⋮ On the isomorphy problem for ergodic equivalence relations ⋮ Deux autres facteurs de type \(II_1\) ⋮ Structure of bicentralizer algebras and inclusions of type III factors ⋮ The numerical range and a certain convex set in an infinite factor ⋮ An uncountable number of \(II^ 1\) and \(II^ \infty\) factors ⋮ On the Stone-Weierstrass theorem of \(C^ *\)-algebras ⋮ Cohomology of operator algebras. II: Extended cobounding and the hyperfinite case ⋮ On some types of maximal Abelian subalgebras ⋮ On nuclear C\(^*\)-algebras ⋮ Semigroup of Operators on Dual Banach Spaces ⋮ On a characterization of type I 𝐶*-algebras ⋮ A new algebraical property of certain von Neumann algebras ⋮ An amenable equivalence relation is generated by a single transformation ⋮ Some remarks on von Neumann algebras with an algebraical property ⋮ A new proof of the equivalence of injectivity and hyperfiniteness for factors on a separable Hilbert space
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