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

Abstract

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

arXiv comment31 page. To appear in IMRN. Minor changes, extended `Concluding remarks' section

References in corpus (4)

• Countable saturation of corona algebras
• A Universal Continuum of Weight aleph
• Logic and operator algebras
• Logic and ${\mathrm{C}}^{\ast }$-algebras: set theoretical dichotomies in the theory of continuous quotients

Cited by in corpus (2)

• Forcing axioms and coronas of $C^{\ast }$-algebras
• Voiculescu's Theorem for Nonseparable C*-algebras