Twisted group C*-algebras of acylindrically hyperbolic groups have stable rank one

2024/03/07 by Sven Raum, Raum, Sven · 2 citations
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.2403.04649

Abstract

We prove that the twisted group C*-algebra of an acylindrically hyperbolic group -- not necessarily having trivial finite radical -- has stable rank one.

Cited by

• Extensions of pure C*-algebras
• Strict comparison for twisted group C*-algebras

Related

• Strict comparison for twisted group C*-algebras
• Z-stability of twisted group C*-algebras of nilpotent groups
• Acylindricity in Higher Rank, Part I : Fundamentals
• Properly twisted groups and their algebras
• Homotopical Stable Ranks for Certain C^∗-algebras Associated to Groups