Relative $C^{\ast }$-sums
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- by S. K. Berberian PDF
- Proc. Amer. Math. Soc. 89 (1983), 117-118 Request permission
Abstract:
A "bounded choice" theorem is proved for ${\text {A}}{{\text {W}}^ * }$-subalgebras of a ${{\text {C}}^ * }$-sum.References
- Sterling K. Berberian, Baer *-rings, Die Grundlehren der mathematischen Wissenschaften, Band 195, Springer-Verlag, New York-Berlin, 1972. MR 0429975, DOI 10.1007/978-3-642-15071-5 —, Expectations in operator algebras, Pacific J. Math. (to appear). —, Normality and embedding of ${\text {A}}{{\text {W}}^ * }$-algebras, Bull. London Math. Soc. (to appear).
- Jacques Dixmier, Les $C^{\ast }$-algèbres et leurs représentations, Cahiers Scientifiques, Fasc. XXIX, Gauthier-Villars Éditeur, Paris, 1969 (French). Deuxième édition. MR 0246136
- Irving Kaplansky, Projections in Banach algebras, Ann. of Math. (2) 53 (1951), 235–249. MR 42067, DOI 10.2307/1969540
- Irving Kaplansky, Algebras of type $\textrm {I}$, Ann. of Math. (2) 56 (1952), 460–472. MR 50182, DOI 10.2307/1969654
Additional Information
- © Copyright 1983 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 89 (1983), 117-118
- MSC: Primary 46L10
- DOI: https://doi.org/10.1090/S0002-9939-1983-0706522-8
- MathSciNet review: 706522