English

Constructing C*-diagonals in AH-algebras

Operator Algebras 2023-07-11 v3 Functional Analysis

Abstract

We construct Cartan subalgebras and hence groupoid models for classes of AH-algebras. Our results cover all AH-algebras whose building blocks have base spaces of dimension at most one as well as Villadsen algebras, and thus go beyond classifiable simple C*-algebras.

Keywords

Cite

@article{arxiv.2111.11765,
  title  = {Constructing C*-diagonals in AH-algebras},
  author = {Xin Li and Ali Imad Raad},
  journal= {arXiv preprint arXiv:2111.11765},
  year   = {2023}
}

Comments

20 pages; minor changes; final version, accepted for publication in Trans. Amer. Math. Soc

R2 v1 2026-06-24T07:48:40.686Z