Elementary amenable groups are quasidiagonal

2014/04/14 by Narutaka Ozawa, Mikael Rørdam, Ozawa, Narutaka +4
Materials Science · Mathematics · #22D25 #46L05 #46L35 #Advanced Operator Algebra Research #Algebraic structures and combinatorial models #FOS: Mathematics #Group Theory (math.GR) #Operator Algebras (math.OA) #Organic and Molecular Conductors Research #math.GR #math.OA #msc:22D25 #msc:46L05 #msc:46L35

paper · pdf · doi:10.48550/arxiv.1404.3462

8 pages, minor revisions. To appear in Geom. Funct. Anal

openalex publication_date 2014/04/14 · arxiv created 2014/09/23 · arxiv updated 2014/09/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that the group C*-algebra of any elementary amenable group is quasidiagonal. This is an offspring of recent progress in the classification theory of nuclear C*-algebras.

Citations

• Localizing the Elliott conjecture at strongly self-absorbing C*-algebras

Related

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• A Note on Strongly Quasidiagonal Groups
• Quasidiagonality of C^*-algebras of solvable Lie groups
• Structure of nuclear C*-algebras: From quasidiagonality to classification, and back again
• Irreducible representations of inner quasidiagonal C*-algebras