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

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

Authors

Sven Raum (ORCID: https://orcid.org/0000-0002-9188-9890)

Institutions

University of Potsdam (DE)

Publication Details

Journal: Groups Geometry and Dynamics
Published: 2025-02-13
DOI: https://doi.org/10.4171/ggd/866
Citations: 2
Primary Topic: Advanced Operator Algebra Research
Type: article
Field-Weighted Citation Impact: 7.38

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article

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

Sven Raum

Feb 13, 2025

2 citations

Groups Geometry and Dynamics

Advanced Operator Algebra Research

7.38

article

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

Sven Raum

February 13, 2025article en

2 citations

Abstract

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

Groups Geometry and Dynamics

University of Potsdam (DE)

Openalex Percentile: Top 5%

Advanced Operator Algebra Research

7.38

DOI Open Access PDF OpenAlex

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Twisted group C*-algebras of acylindrically hyperbolic groups have stable rank one — Sven Raum · Groups Geometry and Dynamics (2025) | TGRS Research Map | TGRS