A new proof of Kirchberg's O2-stable classification

James Gabe*

*Kontaktforfatter for dette arbejde

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Abstrakt

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.

OriginalsprogEngelsk
TidsskriftJournal für die reine und angewandte Mathematik (Crelles Journal)
Vol/bind2020
Udgave nummer761
Sider (fra-til)247-289
DOI
StatusUdgivet - apr. 2020
Udgivet eksterntJa

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