Approximated by finite-dimensional homomorphisms into Simple C*-Algebras with Tracial Rank One

2012/04/06 by Yifan Zhang, Liu, Junping, Zhang, Yifan
Mathematics · Physics and Astronomy · #46L05 #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Noncommutative and Quantum Gravity Theories #Operator Algebras (math.OA)

paper · pdf · doi:10.48550/arxiv.1204.1453

openalex publication_date 2012/04/06 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

Abstract

We discuss when a unital homomorphism ϕ : C(X) → A can be approximated by finite-dimensional homomorphisms, where X is a compact metric space and A is unital simple C*-algebra with tracial rank one. In this paper, we will give a necessary and sufficient condition.

Citations

• Approximate Homotopy of Homomorphisms from C(X) into a Simple C^*-algebra

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