The Stable Rank of C*-modules

2013/06/14 by Mauricio Achigar, Achigar, Mauricio
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Holomorphic and Operator Theory #Operator Algebras (math.OA)

paper · pdf · doi:10.48550/arxiv.1306.3410

openalex publication_date 2013/06/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove equality between the Topological Stable Rank and the Bass Stable Rank for finitely generated projective left modules over a unital C*-algebra. In order to do so, the concept of Stable Rank of a Hilbert module is introduced.

Related

• Unitary stable ranks and norm-one ranks
• Ranks of operators in simple C*-algebras with stable rank one
• Homotopical Stable Ranks for Certain C*-algebras
• Axiomatizability of the stable rank of C*-algebras
• Topological stable rank of inclusions of unital C*-algebras