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A new proof of\break Kirchberg's Q-2-stable classification

A new proof of\break Kirchberg's Q-2-stable classification
A new proof of\break Kirchberg's Q-2-stable classification

I present a new proof of Kirchbergs Q2-stable classification theorem: two separable, nuclear, stable/unital, Q2-stable 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.

0075-4102
Gabe, James
dbca0388-73b3-4a0d-8416-e83294c7a5d7
Gabe, James
dbca0388-73b3-4a0d-8416-e83294c7a5d7

Gabe, James (2018) A new proof of\break Kirchberg's Q-2-stable classification. Journal für die reine und angewandte Mathematik. (doi:10.1515/crelle-2018-0010).

Record type: Article

Abstract

I present a new proof of Kirchbergs Q2-stable classification theorem: two separable, nuclear, stable/unital, Q2-stable 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.

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More information

Accepted/In Press date: 16 May 2018
e-pub ahead of print date: 16 May 2018

Identifiers

Local EPrints ID: 428092
URI: https://eprints.soton.ac.uk/id/eprint/428092
ISSN: 0075-4102
PURE UUID: 9b986e1a-7303-4e9c-9d78-198bf8169ccd

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Date deposited: 08 Feb 2019 17:30
Last modified: 08 Feb 2019 17:30

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