Divisible operators in von Neumann algebras
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Publication:648756
zbMath1236.47033arXivmath/0611364MaRDI QIDQ648756
Publication date: 28 November 2011
Published in: Illinois Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0611364
von Neumann algebraultrapowerunitary orbitapproximate equivalencedivisible operatorVoiculescu's theorem
General theory of von Neumann algebras (46L10) Structure theory of linear operators (47A65) Linear operators in (C^*)- or von Neumann algebras (47C15)
Related Items (4)
On the commutant of \(B(H)\) in its ultrapower ⋮ Dedekind complete posets from sheaves on von Neumann algebras ⋮ Model theory of operator algebras III: elementary equivalence and II1factors ⋮ The commutant of \(L(H)\) in its ultrapower may or may not be trivial
Cites Work
- Diagonalizing matrices over C(X)
- Conditional expectation in an operator algebra. II
- Three test problems in operator theory
- Unitary invariants for representations of operator algebras
- Generalized dimension function for \(W*\)-algebras of infinite type
- Semiregular maximal Abelian *-subalgebras and the solution to the factor state Stone-Weierstrass problem
- Solution of the factorial Stone-Weierstrass conjecture. An application of the theory of standard split \(W^*\)-inclusions
- Strongly stable factors, crossed products and property \(\Gamma\)
- The commutant of \(L(H)\) in its ultrapower may or may not be trivial
- Weak closure of the unitary orbit of contractions
- Pointwise convergence of martingales in von Neumann algebras
- On a problem of R.V. Kadison on maximal Abelian *-subalgebras in factors
- Type decomposition for von Neumann algebra embeddings
- Approximately central matrix units and the structure of noncommutative tori
- Classification of injective factors. Cases \(\mathrm{II}_1\), \(\mathrm{II}_\infty\), \(\mathrm{III}_\lambda\), \(\lambda\neq 1\)
- Notes on extensions of \(C^*\)-algebras
- On derivations of AW*-algebras
- Theory of operator algebras. III
- Completely rank-nonincreasing linear maps
- Central sequence algebras of von Neumann algebras
- The Borel space of von Neumann algebras on a separable Hilbert space
- Irreducible operators
- Deux nouveaux facteurs de type II\(_ 1\)
- Operator algebras. Theory of \(C^*\)-algebras and von Neumann algebras
- A theorem on rings of operators
- The unitary structure in finite rings of operators
- A reduction for algebras of finite type
- On rings of operators. IV
- Property T for von Neumann Algebras
- Unitary orbits of normal operators in von Neumann algebras
- On the Existence of Central Sequences in Subfactors
- On the dimension theory of von Neumann algebras
- LOCALLY INNER AUTOMORPHISMS OF OPERATOR ALGEBRAS
- Notes on automorphisms of ultrapowers of II1factors
- Diagonalizing Matrices
- Notes on Cartan subalgebras in type $\mathrm{II}_1$ factors.
- Closed Convex Hulls of Unitary Orbits in von Neumann Algebras
- Lyapunov theorems for operator algebras
- Charting the operator terrain
- Essential Central Range and Selfadjoint Commutators in Properly Infinite von Neumann Algebras
- C ∗ -Algebras Isomorphic after Tensoring
- An Asymptotic Double Commutant Theorem for C ∗ -Algebras
- The Effros-Marechal topology in the space of von Neumann algebras
- C*-ALGEBRAS THAT ARE ISOMORPHIC AFTER TENSORING AND FULL PROJECTIONS
- NONCOMMUTATIVE CONTINUOUS FUNCTIONS
- Test Problems for Operator Algebras
- The impact of magnetic field on the cluster M – T relation
- Shorter Notes: The Set of Irreducible Operators is Dense
- Central Sequences and the Hyperfinite Factor
- Ten problems in Hilbert space
- Abelian subalgebras of von Neumann algebras
- Perturbations of Von Neumann Algebras I Stability of Type
- Norm of a Derivation on a Von Neumann Algebra
- Les anneaux d'opérateurs de classe finie
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