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

Published:2010-04-06
Printed: Jun 2010
• Xiaochun Fang,
Department of Mathematics, Tongji University, Shanghai, China
• Lin Wang,
Department of Mathematics, Tongji University, Shanghai, China
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## Abstract

We prove the equivalence of three definitions given by different comparison relations for infiniteness of positive elements in simple $C^*$-algebras.
 Keywords: Infinite positive element, Comparison relation
 MSC Classifications: 46L99 - None of the above, but in this section

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