English

Simple AH algebras with the same Elliott invariant and radius of comparison

Operator Algebras 2024-07-04 v2

Abstract

We construct an uncountable family of pairwise nonisomorphic AH algebras with the same Elliott invariant and same radius of comparison. They can be distinguished by a local radius of comparison function, naturally defined on the positive cone of the K_0 group.

Keywords

Cite

@article{arxiv.2312.11203,
  title  = {Simple AH algebras with the same Elliott invariant and radius of comparison},
  author = {Ilan Hirshberg and N. Christopher Phillips},
  journal= {arXiv preprint arXiv:2312.11203},
  year   = {2024}
}

Comments

34 pages; added some details and corrected misprints