Certain properties of generalized tracially approximated C*-algebras

2023/09/16 by Qingzhai Fan, Jiahui Wang, Fan, Qingzhai +1
Materials Science · Mathematics · #Advanced Operator Algebra Research #FOS: Mathematics #Lanthanide and Transition Metal Complexes #Operator Algebras (math.OA) #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2309.08900

openalex publication_date 2023/09/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that the following properties of unital \rm C^*-algebra in a class of Ω are preserved by unital simple \rm C^*-algebra in the class of \rm WTAΩ: (1) uniform property Γ, (2) a certain type of tracial nuclear dimension at most n, (3) weakly (m, n)-divisible.

Related

• Non unital generalized tracially approximated C*-algebras
• Generalized Tracially Approximated C*-algebras
• Some properties for certain generalized tracial approximated \rm C^*-algebras
• Tracial approximation in simple C*-algebras
• Non-unital tracially approximated \rm C^*-algebras