Consistency of a counterexample to Naimark's problem
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Publication:5460841
DOI10.1073/pnas.0401489101zbMath1064.46034arXivmath/0312135OpenAlexW2170387336WikidataQ34335450 ScholiaQ34335450MaRDI QIDQ5460841
Nikolai Weaver, Charles A. Akemann
Publication date: 19 July 2005
Published in: Proceedings of the National Academy of Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0312135
General theory of (C^*)-algebras (46L05) Consistency and independence results (03E35) Other set-theoretic hypotheses and axioms (03E65)
Related Items (14)
Naimark's problem for graph \(C^\ast\)-algebras ⋮ An approximate unique extension property for completely positive maps ⋮ Exotic ideals in free transformation group C∗$\mathbf {C}^*$‐algebras ⋮ Can you take Akemann-Weaver's \(\diamondsuit_{\aleph_1}\) away? ⋮ Nowhere scattered \(C^{\ast}\)-algebras ⋮ Large Irredundant Sets in Operator Algebras ⋮ Classically normal pure states ⋮ A new bicommutant theorem ⋮ Set Theory and C*-Algebras ⋮ The noncommutative Choquet boundary ⋮ Trace spaces of counterexamples to Naimark's problem ⋮ ℬ( H ) has a pure state that is not multiplicative on any masa ⋮ Non-commutativity of the central sequence algebra for separable non-type I C*-algebras ⋮ \(C^{*}\)-algebras with and without \(\ll\)-increasing approximate units
Cites Work
- Uncountable constructions for B. A., e. c. groups and Banach spaces
- Outer automorphisms and reduced crossed products of simple C*-algebras
- Infinite Abelian groups, Whitehead problem and some constructions
- Type I \(C^ *\)-algebras
- Excising States of C*-Algebras
- Homogeneity of the Pure State Space of a Separable C*-Algebra
- HOMOGENEITY OF THE PURE STATE SPACE FOR SEPARABLE C*-ALGEBRAS
- On a characterization of type I 𝐶*-algebras
- The Number of Irreducible Representations of Simple Rings with No Minimal Ideals
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