Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/63826
Title: The Cuntz comparison in the standard C∗-Algebra
Authors: Fang, X
Sze, NS 
Xu, XM
Issue Date: 2014
Publisher: Hindawi Publishing Corporation
Source: Abstract and applied analysis, 2014, v. 2014, 623520, p. 1-4 How to cite?
Journal: Abstract and applied analysis 
Abstract: The Cuntz comparison, introduced by Cuntz in early 1978, associates each C*-algebra with an abelian semigroup which is an invariant for the classification of the nuclear C*-algebras and called the Cuntz semigroup. In this paper, we study the Cuntz comparison in the standard C*-algebra. We characterize the Cuntz comparison in terms of the dimension of the operator range. Also, we consider the structure of the semilinear map which preserves the Cuntz comparison.
URI: http://hdl.handle.net/10397/63826
ISSN: 1085-3375 (print)
DOI: 10.1155/2014/623520
Rights: Copyright © 2014 Xiaochun Fang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
The following article: Xiaochun Fang, Nung-Sing Sze, and Xiao-Ming Xu, “The Cuntz Comparison in the Standard -Algebra,” Abstract and Applied Analysis, v. 2014, 623520, 2014, is available at https://doi.org/10.1155/2014/623520
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