Nuclear dimension of extensions of commutative C*-algebras by Kirchberg algebras

2024/09/19 by Samuel Evington, Evington, Samuel, Abraham C. S. Ng +5 · 1 citation
Mathematics · #46L05 #46L35 #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Operator Algebras (math.OA)

paper · pdf · doi:10.48550/arxiv.2409.12872

openalex publication_date 2024/09/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We compute the nuclear dimension of extensions of C*-algebras involving commutative unital quotients and stable Kirchberg ideals. We identify the finite directed graphs whose C*-algebras are covered by this theorem.

Cited by

• Z-stable Graph Algebras

Related

• UCT-Kirchberg algebras have nuclear dimension one
• The nuclear dimension of C*-algebras
• C*-algebras and their nuclear dimension
• Nuclear dimension of graph C^*-algebras with Condition~(K)
• The nuclear dimension of extensions of commutative C*-algebras by the compact operators