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arXiv · 1406.4353

The ultrasimplicial property for simple dimension groups with unique state, the image of which has rank one

Gregory R. Maloney
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Abstract

Let $G$ be an ordered group that is a direct sum of a rank-one torsion-free abelian group and a finite-rank torsion-free abelian group, with order structure arising from the natural order on the first summand. A necessary condition and a sufficient condition are given for $G$ to have an ordered-group inductive limit representation using injective maps.

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Gregory R. Maloney. 2014-06-17. The ultrasimplicial property for simple dimension groups with unique state, the image of which has rank one. https://arxiv.org/abs/1406.4353

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