Embedding $\mathrm{C}^*$-algebras into the Calkin algebra

Andrea Vaccaro; Georgios Katsimpas; Ilijas Farah

arxiv: 1810.00255 · v3 · pith:RXZKO3ALnew · submitted 2018-09-29 · 🧮 math.LO · math.OA

Embedding C^*-algebras into the Calkin algebra

Ilijas Farah , Georgios Katsimpas , Andrea Vaccaro This is my paper

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keywords algebracalkinmathrmalgebrascardinalcharactercollapsingdensity

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Every $\mathrm{C}^*$-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.

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Embedding C^*-algebras into the Calkin algebra

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