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 fuer die Reine und Angewandte Mathematik
Vol/bind2020
Udgave nummer761
Sider (fra-til)247-289
ISSN0075-4102
DOI
StatusUdgivet - apr. 2020
Udgivet eksterntJa

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