On vector states and separable $C^*$-algebras
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- by Joel Anderson
- Proc. Amer. Math. Soc. 65 (1977), 62-64
- DOI: https://doi.org/10.1090/S0002-9939-1977-0448090-1
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Abstract:
It is proved that the set of states on a separable ${C^\ast }$-subalgebra of the Calkin algebra may be simultaneously extended to a set of equivalent, orthogonal, pure states on the Calkin algebra.References
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- Dan Voiculescu, A non-commutative Weyl-von Neumann theorem, Rev. Roumaine Math. Pures Appl. 21 (1976), no. 1, 97–113. MR 415338
- W. I. M. Wils, Stone-Čech compactification and representations of operator algebras, Katholieke Universiteit, Faculteit der Wiskunde en Natuurwetenschappen, Nijmegen, 1968 (English, with Dutch summary). Doctoral dissertation, Catholic University of Nijmegen. MR 0229059
Bibliographic Information
- © Copyright 1977 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 65 (1977), 62-64
- MSC: Primary 46L05
- DOI: https://doi.org/10.1090/S0002-9939-1977-0448090-1
- MathSciNet review: 0448090