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2014 The Cuntz Comparison in the Standard C*-Algebra
Xiaochun Fang, Nung-Sing Sze, Xiao-Ming Xu
Abstr. Appl. Anal. 2014: 1-4 (2014). DOI: 10.1155/2014/623520


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.


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Xiaochun Fang. Nung-Sing Sze. Xiao-Ming Xu. "The Cuntz Comparison in the Standard C*-Algebra." Abstr. Appl. Anal. 2014 1 - 4, 2014.


Published: 2014
First available in Project Euclid: 2 October 2014

MathSciNet: MR3219378
Digital Object Identifier: 10.1155/2014/623520

Rights: Copyright © 2014 Hindawi

Vol.2014 • 2014
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