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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 | Source: | Abstract and applied analysis, 2014, v. 2014, 623520, p. 1-4 | 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. | Publisher: | Hindawi Publishing Corporation | Journal: | Abstract and applied analysis | 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 |
Appears in Collections: | Journal/Magazine Article |
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Fang_Cuntz_comparison_standard.pdf | 1.91 MB | Adobe PDF | View/Open |
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