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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.
ISSN: 1085-3375 (print)
1687-0409 (online)
DOI: 10.1155/2014/623520
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