C*-diagonals with Cantor spectrum in Cuntz algebras
Operator Algebras
2026-02-24 v2
Abstract
We prove that there exists a C*-diagonal with Cantor spectrum in the Cuntz algebra for . Our method generalises to an uncountable family of UCT Kirchberg algebras with distinct K-theory. Moreover, we construct principal \'etale groupoid models for these Cuntz algebras and UCT Kirchberg algebras.
Cite
@article{arxiv.2506.22163,
title = {C*-diagonals with Cantor spectrum in Cuntz algebras},
author = {Samuel Evington and Philipp Sibbel},
journal= {arXiv preprint arXiv:2506.22163},
year = {2026}
}
Comments
20 pages; accepted version; J. Funct. Anal., to appear