A cross section theorem and an application to $C^*$-algebras
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- by Robert R. Kallman and R. D. Mauldin PDF
- Proc. Amer. Math. Soc. 69 (1978), 57-61 Request permission
Abstract:
The purpose of this note is to prove a cross section theorem for certain equivalence relations on Borel subsets of a Polish space. This theorem is then applied to show that cross sections always exist on countably separated Borel subsets of the dual of a separable ${C^ \ast }$-algebra.References
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Additional Information
- © Copyright 1978 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 69 (1978), 57-61
- MSC: Primary 28A05; Secondary 46L05
- DOI: https://doi.org/10.1090/S0002-9939-1978-0463390-8
- MathSciNet review: 0463390