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The Cuntz Comparison in the Standard C*-Algebra
oleh: Xiaochun Fang, Nung-Sing Sze, Xiao-Ming Xu
Format: | Article |
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Diterbitkan: | Wiley 2014-01-01 |
Deskripsi
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.