Pure states with the restriction property
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- by Bruce A. Barnes PDF
- Proc. Amer. Math. Soc. 33 (1972), 491-494 Request permission
Abstract:
Conditions are given which imply that a pure state of a ${B^\ast }$-algebra A restricts to a pure state of some maximal commutative $^\ast$-subalgebra of A.References
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- Jacques Dixmier, Les $C^{\ast }$-algĂšbres et leurs reprĂ©sentations, Cahiers Scientifiques, Fasc. XXIX, Gauthier-Villars & Cie, Ăditeur-Imprimeur, Paris, 1964 (French). MR 0171173
- Richard V. Kadison and I. M. Singer, Extensions of pure states, Amer. J. Math. 81 (1959), 383â400. MR 123922, DOI 10.2307/2372748
Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 33 (1972), 491-494
- MSC: Primary 46L05
- DOI: https://doi.org/10.1090/S0002-9939-1972-0295089-X
- MathSciNet review: 0295089