A new proof of Kirchberg's O2-stable classification

James Gabe*

*Corresponding author for this work

Research output: Contribution to journalJournal articleResearchpeer-review


I present a new proof of Kirchberg's O 22-stable classification theorem: two separable, nuclear, stable/unital, O 2-stable C C ∗ -algebras are isomorphic if and only if their ideal lattices are order isomorphic, or equivalently, their primitive ideal spaces are homeomorphic. Many intermediate results do not depend on pure infiniteness of any sort.

Original languageEnglish
JournalJournal fuer die Reine und Angewandte Mathematik
Issue number761
Pages (from-to)247-289
Publication statusPublished - Apr 2020
Externally publishedYes


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