105 research outputs found
Simple Riesz groups having wild intervals
We prove that every partially ordered simple group of rank one which is not
Riesz embeds into a simple Riesz group of rank one if and only if it is not
isomorphic to the additive group of the rationals. Using this result, we
construct examples of simple Riesz groups of rank one , containing unbounded
intervals and , that satisfy: (a) For each ,
for every , but (where is a sequence
of relatively prime integers); (b) For every , . We sketch
some potential applications of these results in the context of K-Theory.Comment: 27 page
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