Simple archimedean dimension groups
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Abstract:
We answer affirmatively a question of Goodearl on the existence of simple archimedean dimension groups with arbitrary Choquet simplex as a trace space—at least when the Choquet simplex is metrizable.References
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Additional Information
- David Handelman
- Affiliation: Department of Mathematics, University of Ottawa, Ottawa ON K1N 6N5, Canada
- Email: dehsg@uottawa.ca
- Received by editor(s): March 28, 2011
- Received by editor(s) in revised form: January 22, 2012
- Published electronically: July 18, 2013
- Additional Notes: The author was supported in part by a Discovery Grant from NSERC
- Communicated by: Birge Huisgen-Zimmermann
- © Copyright 2013 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 141 (2013), 3787-3792
- MSC (2010): Primary 06F20, 46A55
- DOI: https://doi.org/10.1090/S0002-9939-2013-11672-2
- MathSciNet review: 3091768