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The Kirchberg–Wassermann operator system is unique

Lupini, Martino (2018) The Kirchberg–Wassermann operator system is unique. Journal of Mathematical Analysis and Applictions, 459 (2). pp. 1251-1259. ISSN 0022-247X. http://resolver.caltech.edu/CaltechAUTHORS:20171127-125204533

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Abstract

In 1998, Kirchberg and Wassermann constructed a separable nuclear operator system with the property that the canonical unital ⁎-homomorphism from the maximal C*-algebra onto the C*-envelope is injective. We show that such an operator system is unique, and completely order isomorphic to the operator system associated with the noncommutative Poulsen simplex.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1016/j.jmaa.2017.11.026DOIArticle
http://www.sciencedirect.com/science/article/pii/S0022247X17310272PublisherArticle
ORCID:
AuthorORCID
Lupini, Martino0000-0003-1588-7057
Additional Information:© 2017 Elsevier Inc. Received 20 August 2017, Available online 21 November 2017.
Subject Keywords:Operator system; Nuclear operator system; C*-envelope; Maximal C*-algebra; Poulsen simplex; Noncommutative Poulsen simplex
Record Number:CaltechAUTHORS:20171127-125204533
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20171127-125204533
Official Citation:Martino Lupini, The Kirchberg–Wassermann operator system is unique, In Journal of Mathematical Analysis and Applications, Volume 459, Issue 2, 2018, Pages 1251-1259, ISSN 0022-247X, https://doi.org/10.1016/j.jmaa.2017.11.026. (http://www.sciencedirect.com/science/article/pii/S0022247X17310272)
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:83442
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:27 Nov 2017 21:38
Last Modified:18 Dec 2017 16:47

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