Embedding C*-algebras into the Calkin algebra

Ilijas Farah, Georgios Katsimpas, Andrea Vaccaro

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

We prove that, under Martin’s axiom, every C*-algebra of density character less than continuum embeds into the Calkin algebra. Furthermore, we show that it is consistent with Zermelo-Fraenkel set theory plus the axiom of choice, ZFC, that there is a C*-algebra of density character less than continuum that does not embed into the Calkin algebra.

Original languageEnglish
Pages (from-to)8188-8224
Number of pages37
JournalInternational Mathematics Research Notices
Volume2021
Issue number11
DOIs
StatePublished - 1 Jan 2019
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics (all)

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