A selector for equivalence relations with $G_{\delta }$ orbits
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- by Douglas E. Miller PDF
- Proc. Amer. Math. Soc. 72 (1978), 365-369 Request permission
Abstract:
Assume X is a Polish space and E is an open equivalence on X such that every equivalence class is a ${G_\delta }$ set. We show that there is a ${G_\delta }$ transversal for E. It follows that for any separable ${C^\ast }$-algebra A, there is a Borel cross-section for the canonical map ${\text {Irr}}(A) \to {\text {Prim}}(A)$.References
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Additional Information
- © Copyright 1978 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 72 (1978), 365-369
- MSC: Primary 54H05
- DOI: https://doi.org/10.1090/S0002-9939-1978-0515142-8
- MathSciNet review: 0515142