On Quasidiagonal C*-algebras

2000/08/23 by Nathanial P. Brown, Brown, Nathanial P. · 2 citations
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Holomorphic and Operator Theory #Operator Algebras (math.OA) #math.OA

paper · pdf · doi:10.48550/arxiv.math/0008181

Latex, 45 pages

arxiv created 2000/08/23 · openalex publication_date 2000/08/23 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a detailed survey of the theory of quasidiagonal C*-algebras. The main structural results are presented and various functorial questions around quasidiagonality are discussed. In particular we look at what is currently known (and not known) about extensions, quotients, tensor products, ect. of quasidiagonal C*-algebras. We also point out how quasidiagonality is connected to some important open problems.

Cited by

• Herrero's Approximation Problem for Quasidiagonal Operators
• Extensions of Quasidiagonal C*-algebras and K-theory

Related

• A Note On Inner Quasidiagonal C*-Algebras
• Some Results on Inner Quasidiagonal C^*-algebras
• Structure of nuclear C*-algebras: From quasidiagonality to\n classification, and back again
• Irreducible representations of inner quasidiagonal C*-algebras
• Extensions of Quasidiagonal C*-algebras and K-theory