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The Classification Problem for Simple Unital Finite Rank Dimension Groups

Logic 2017-09-21 v1 Group Theory

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.

Keywords

Cite

@article{arxiv.1709.06684,
  title  = {The Classification Problem for Simple Unital Finite Rank Dimension Groups},
  author = {Paul Ellis},
  journal= {arXiv preprint arXiv:1709.06684},
  year   = {2017}
}

Comments

32 pages. To be published in Israel Journal of Mathematics

R2 v1 2026-06-22T21:48:53.966Z