The kernel of the determinant map on pure C*-algebras

2014/08/19 by Ping Wong Ng, Leonel Robert, Ng, Ping Wong +1 · 1 citation
Mathematics · #46L05 #46L35 #46L80 #46L85 #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Operator Algebras (math.OA) #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1408.4359

openalex publication_date 2014/08/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In a simple C*-algebra with suitable regularity properties, any unitary or invertible element with de la Harpe--Skandalis determinant zero is a finite product of commutators.

Cited by

• Unitary orbits of self-adjoint operators in simple Z-stable C*-algebras

Related

• The kernel of the determinant map on certain simple C*-algebras
• Linear maps preserving regularity in C∗-algebras
• Sums of commutators in pure C*-algebras
• Determinants of finite-dimensional algebras
• Commutators Close to the Identity in Unital C*-Algebras