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.
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 fur die Reine und Angewandte Mathematik.
(doi:10.1515/crelle-2018-0010).
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.
This record has no associated files available for download.
More information
Accepted/In Press date: 16 May 2018
e-pub ahead of print date: 16 May 2018
Identifiers
Local EPrints ID: 428092
URI: http://eprints.soton.ac.uk/id/eprint/428092
ISSN: 0075-4102
PURE UUID: 9b986e1a-7303-4e9c-9d78-198bf8169ccd
Catalogue record
Date deposited: 08 Feb 2019 17:30
Last modified: 15 Mar 2024 20:21
Export record
Altmetrics
Contributors
Author:
James Gabe
Download statistics
Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.
View more statistics