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Simple archimedean dimension groups

Author: David Handelman
Journal: Proc. Amer. Math. Soc. 141 (2013), 3787-3792
MSC (2010): Primary 06F20, 46A55
Published electronically: July 18, 2013
MathSciNet review: 3091768
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Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)

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Additional Information

David Handelman
Affiliation: Department of Mathematics, University of Ottawa, Ottawa ON K1N 6N5, Canada

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
Article copyright: © Copyright 2013 American Mathematical Society

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