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Equivalent Definitions of Infinite Positive Elements in Simple C*-algebras

Published online by Cambridge University Press:  20 November 2018

Xiaochun Fang  and
Lin Wang
Xiaochun Fang
Affiliation:
Department of Mathematics, Tongji University, Shanghai, China, 200092 e-mail: xfang@tongji.edu.cn e-mail: wlzwl@163.com
Lin Wang
Affiliation:
Department of Mathematics, Tongji University, Shanghai, China, 200092 e-mail: xfang@tongji.edu.cn e-mail: wlzwl@163.com
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Abstract

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We prove the equivalence of three definitions given by different comparison relations for infiniteness of positive elements in simple ${{C}^{*}}$-algebras.

Keywords

46L99Infinite positive elementComparison relation
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 53 , Issue 2 , 01 June 2010 , pp. 256 - 262
Copyright
Copyright © Canadian Mathematical Society 2010

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