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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 Infinite positive element, Comparison relation
MSC Classifications: 46L99 show english descriptions None of the above, but in this section 46L99 - None of the above, but in this section
 

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