The classification ofseparable simple C*-algebras which are inductive limits of continuous-trace C*-algebraswith spectrum homeomorphic to the closed interval [0,1]

2007/04/11 by George A. Elliott, Elliott, George A., Cristian Ivanescu +1
Mathematics · Physics and Astronomy · #46L06 #46L35 #Advanced Operator Algebra Research #FOS: Mathematics #Noncommutative and Quantum Gravity Theories #Operator Algebras (math.OA) #Spectral Theory in Mathematical Physics #math.OA #msc:46L06 #msc:46L35

paper · pdf · doi:10.48550/arxiv.0704.1449

41 pages, 6figures

arxiv created 2007/04/11 · openalex publication_date 2007/04/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A classification is given of certain separable nuclear C*-algebras not necessarily of real rank zero, namely, the class of separable simple C*-algebras which are inductive limits of continuous-trace C*-algebras whose building blocks have spectrum homeomorphic to the closed interval [0,1], or to a disjoint union of copies of this space. Also, the range of the invariant is calculated.

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