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math.OA2026
Principal groupoid models for stable UCT Kirchberg algebras
Samuel Evington, Philipp Sibbel
We show that every stable UCT Kirchberg algebra has a principal étale groupoid model, and thus contains a C-diagonal. Every unital UCT Kirchberg algebra for which $[1_A]_0…
math.OA2026
The real and stable rank of tracially complete C*-algebras
Samuel Evington, Aaron Tikuisis
We prove that a factorial tracially complete C*-algebra with CPoU has real rank zero and stable rank one. This leads to an essentially complete description of the Cuntz semigroup o…
math.OA2026
C*-diagonals with Cantor spectrum in Cuntz algebras
Samuel Evington, Philipp Sibbel
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 Ki…