A new proof of Kirchberg's O2-stable classification

James Gabe

doi:10.1515/crelle-2018-0010

A new proof of Kirchberg's O2-stable classification

James Gabe^*

^*Kontaktforfatter

University of Southampton

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

Abstract

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.

Originalsprog	Engelsk
Tidsskrift	Journal fuer die Reine und Angewandte Mathematik
Vol/bind	2020
Udgave nummer	761
Sider (fra-til)	247-289
ISSN	0075-4102
DOI	https://doi.org/10.1515/crelle-2018-0010
Status	Udgivet - apr. 2020
Udgivet eksternt	Ja

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10.1515/crelle-2018-0010

Citationsformater

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A new proof of Kirchberg's O2-stable classification

Abstract

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