Abstract
We give a description of the closure of the natural affine continuous function representation of K 0 ( R ) K_0(R) for any exchange ring R R . This goal is achieved by extending the results of Goodearl and Handelman, about metric completions of dimension groups, to a more general class of pre-ordered groups, which includes K 0 K_0 of exchange rings. As a consequence, the results about K 0 + K_0^+ of regular rings, which the author gave in an earlier paper, can be extended to a wider class of rings, which includes C ∗ C^* -algebras of real rank zero, among others. Also, the framework of pre-ordered groups developed here allows other potential applications.
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