On unitary equivalence of representations of $C^{\ast }$-algebras
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- by Joel Anderson PDF
- Proc. Amer. Math. Soc. 74 (1979), 307-310 Request permission
Abstract:
Assuming the continuum hypothesis, there are inequivalent irreducible representations of $\mathcal {B}(\mathcal {H})$ that are pointwise equivalent.References
- Joel Anderson, On vector states and separable $C^*$-algebras, Proc. Amer. Math. Soc. 65 (1977), no. 1, 62–64. MR 448090, DOI 10.1090/S0002-9939-1977-0448090-1 —, Extreme points in sets of positive linear maps on $\mathcal {B}(\mathcal {H})$, J. Functional Analysis (to appear).
- Jacques Dixmier, Les $C^{\ast }$-algèbres et leurs représentations, Cahiers Scientifiques, Fasc. XXIX, Gauthier-Villars & Cie, Éditeur-Imprimeur, Paris, 1964 (French). MR 0171173
- Walter Rudin, Homogeneity problems in the theory of Čech compactifications, Duke Math. J. 23 (1956), 409–419. MR 80902
Additional Information
- © Copyright 1979 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 74 (1979), 307-310
- MSC: Primary 46L05
- DOI: https://doi.org/10.1090/S0002-9939-1979-0524306-X
- MathSciNet review: 524306