The Cuntz Comparison in the Standard C*-Algebra

Joint Authors

Fang, Xiaochun
Sze, Nung-Sing
Xu, Xiao-Ming

Source

Abstract and Applied Analysis

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-4, 4 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-06-05

Country of Publication

Egypt

No. of Pages

4

Main Subjects

Mathematics

Abstract EN

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.

American Psychological Association (APA)

Fang, Xiaochun& Sze, Nung-Sing& Xu, Xiao-Ming. 2014. The Cuntz Comparison in the Standard C*-Algebra. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-4.
https://search.emarefa.net/detail/BIM-1033878

Modern Language Association (MLA)

Fang, Xiaochun…[et al.]. The Cuntz Comparison in the Standard C*-Algebra. Abstract and Applied Analysis No. 2014 (2014), pp.1-4.
https://search.emarefa.net/detail/BIM-1033878

American Medical Association (AMA)

Fang, Xiaochun& Sze, Nung-Sing& Xu, Xiao-Ming. The Cuntz Comparison in the Standard C*-Algebra. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-4.
https://search.emarefa.net/detail/BIM-1033878

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1033878