The cuntz comparison in the standard C* -algebra

Xiaochun Fang, Nung Sing Sze, Xiao Ming Xu

Research output: Journal article publicationJournal articleAcademic researchpeer-review


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.
Original languageEnglish
Article number623520
JournalAbstract and Applied Analysis
Publication statusPublished - 1 Jan 2014

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics


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