Abstract
The Borel complexity of the isomorphism problem for finite-rank unital simple dimension groups increases with rank. This implies that the isomorphism problems for the corresponding classes of Bratteli diagrams and LDA-groups also increase with rank.
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Ellis, P. The classification problem for simple unital finite rank dimension groups. Isr. J. Math. 226, 419–445 (2018). https://doi.org/10.1007/s11856-018-1700-6
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DOI: https://doi.org/10.1007/s11856-018-1700-6