Embedding C^*-algebras into the Calkin algebra

2018/09/29 by Ilijas Farah, Farah, Ilijas, Georgios Katsimpas +3 · 1 citation
Computer Science · Mathematics · #03E35 #03E50 (Secondary) #03E75 (Primary) 46L05 #Advanced Topology and Set Theory #Computability, Logic, AI Algorithms #FOS: Mathematics #Logic (math.LO) #Mathematical and Theoretical Analysis #Operator Algebras (math.OA)

paper · pdf · doi:10.48550/arxiv.1810.00255

openalex publication_date 2018/09/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Every C^*-algebra, regardless of its density character, can be embedded into the Calkin algebra in a forcing extension of the universe obtained without collapsing any cardinal.

Cited by

• On masas of the Calkin algebra generated by projections

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• The Calkin algebra is ℵ₁-universal
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