The cuntz comparison in the standard C* -algebra

Xiaochun Fang; Nung Sing Sze; Xiao Ming Xu

doi:10.1155/2014/623520

The cuntz comparison in the standard C* -algebra

Xiaochun Fang, Nung Sing Sze, Xiao Ming Xu

Research output: Journal article publication › Journal article › Academic research › peer-review

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.

Original language	English
Article number	623520
Journal	Abstract and Applied Analysis
Volume	2014
DOIs	https://doi.org/10.1155/2014/623520
Publication status	Published - 1 Jan 2014

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1155/2014/623520

http://hdl.handle.net/10397/63826

Cite this

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The cuntz comparison in the standard C* -algebra

Abstract

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