C*-diagonals with Cantor spectrum in Cuntz algebras
We prove that there exists a C ⁎ -diagonal with Cantor spectrum in the Cuntz algebra O k for 2 ≤ k < ∞ . Our method generalises to an uncountable family of UCT Kirchberg algebras with distinct K-theory. Moreover, we construct principal étale groupoid models for these Cuntz algebras and UCT Kirchberg algebras.
Authors
- Samuel Evington (ORCID: https://orcid.org/0000-0001-7562-8394)
- Philipp Sibbel
Institutions
- University of Münster (DE)
Publication Details
- Journal
- Journal of Functional Analysis
- Published
- 2026-02-25
- DOI
- https://doi.org/10.1016/j.jfa.2026.111418
- Primary Topic
- Advanced Operator Algebra Research
- Type
- article
- Field-Weighted Citation Impact
- 0.00