Nonseparable Approximate Equivalence
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Publication:3913301
DOI10.2307/1998394zbMath0462.46039OpenAlexW4253430477MaRDI QIDQ3913301
Publication date: 1981
Full work available at URL: https://doi.org/10.2307/1998394
primitive ideal spacemultiplicity theoremCalkin algebraapproximate equivalencecardinal-valued functionsnonseparable representations of nonseparable C*- algebrasVoiculescu's reflexivity theorem
General theory of (C^*)-algebras (46L05) Dilations, extensions, compressions of linear operators (47A20) Representation theory of linear operators (47A67) Linear operators in (C^*)- or von Neumann algebras (47C15)
Related Items (22)
Completely rank-nonincreasing linear maps ⋮ Universal \(C^\ast\)-algebras defined by completely bounded unital homomorphisms ⋮ Unitary orbits of normal operators in von Neumann algebras ⋮ On unital full amalgamated free products of quasidiagonal \(C^\ast\)-algebras ⋮ Amenability and uniqueness ⋮ Some topologies related to nonseparable Hilbert spaces and their applications ⋮ Amenability and uniform Roe algebras ⋮ An approximate unique extension property for completely positive maps ⋮ Double relative commutants in coronas of separable C*-algebras ⋮ VOICULESCU’S THEOREM FOR NONSEPARABLE -ALGEBRAS ⋮ Completely rank-nonincreasing multilinear maps ⋮ Projectionless C*-algebras ⋮ An introduction to matrix convex sets and free spectrahedra ⋮ Closures of Direct Sums of Classes of Operators ⋮ Approximate equivalence in von Neumann algebras ⋮ Approximate equivalence of representations of AF algebras into semifinite von Neumann algebras ⋮ Compactness properties of operator multipliers ⋮ Multidimensional operator multipliers ⋮ A note on representations of commutative C^*-algebras in semifinite von Neumann algebras ⋮ Central amalgamation of groups and the RFD property ⋮ Completely rank-nonincreasing linear maps on spaces of operators ⋮ Perturbation theory for groups and lattices
Cites Work
- Invariant subspaces for algebras generated by strongly reductive operators
- Quasi-diagonal C*-algebras
- Notes on extensions of \(C^*\)-algebras
- Approximating direct integrals of operators by direct sums
- Limits of unitarily equivalent normal operators
- Irreducible operators
- Some unsolved problems of unknown depth about operators on Hilbert space
- On Asymptotic Properties of Several Classes of Operators
- An Asymptotic Double Commutant Theorem for C ∗ -Algebras
- An Extension of the Weyl-Von Neumann Theorem to Normal Operators
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