About the Cuntz Comparison for Non-simple C*-algebras

2017/09/14 by George A. Elliott, Kun Wang, Elliott, George +1
Mathematics · #Advanced Banach Space Theory #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA)

paper · pdf · doi:10.48550/arxiv.1709.04597

openalex publication_date 2017/09/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the Cuntz semigroup for non-simple C^*-algebras in this paper. In particular, we use the extended Elliott invariant to characterize the Cuntz comparison for C^*-algebras with the projection property which have only one ideal.

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